Recent questions tagged quadratic-equations

The factors of the quadratic equation $9x^2-9(a+b)x+(2a^2+5ab+2b^2)=0$ are _____

asked Oct 29, 2014 by sreemathi.v

1 answer

The roots of the quadratic equation $a^2b^2x^2+b^2x-a^2x-1=0$ are ______

asked Oct 29, 2014 by sreemathi.v

1 answer

The factors for the quadratic equation $(x-3)(x-4)=\large\frac{34}{33^2}$ are _______

asked Oct 29, 2014 by sreemathi.v

1 answer

The roots of the quadratic equation $\large\frac{x+3}{x-2}-\frac{(1-2)}{x}=\frac{17}{4}$ are _______

asked Oct 29, 2014 by sreemathi.v

1 answer

For what value of $k$ does the equation $12x^2+4kx+3=0$ has real and equal roots?

asked Oct 28, 2014 by sreemathi.v

1 answer

If $-4$ is the root of the quadratic equation $x^2+px-4=0$ and the quadratic equation $x^2+px+k=0$ has real roots,then the value of $k$ is ______

asked Oct 28, 2014 by sreemathi.v

1 answer

For what values of $a$ does the equation $x^2-4x+a=0$ has distinct roots.

asked Oct 28, 2014 by sreemathi.v

1 answer

If $x=1$ is a common root of $ax^2+ax+2=0$ and $x^2+x+b=0$ then $ab$=_______

asked Oct 28, 2014 by sreemathi.v

1 answer

If the sum of the roots of the equation $x^2-x=\lambda(2x-1)$ is zero then $\lambda$=_______

asked Oct 28, 2014 by sreemathi.v

1 answer

For what values of $'a'$ does the equation $ax^2+2x+a=0$ has two distinct roots?

asked Oct 28, 2014 by sreemathi.v

1 answer

A quadratic polynomial whose sum of zeroes is $2\sqrt 3$ and their product is 2 is _______

asked Oct 28, 2014 by sreemathi.v

1 answer

The discriminant value of the quadratic equation $3\sqrt 3x^2+10x+\sqrt 3=0$ is __________

asked Oct 28, 2014 by sreemathi.v

1 answer

For what values of $a$ will the equation $x^2+ax + 1=0$ has real roots?

asked Oct 28, 2014 by sreemathi.v

1 answer

For what value of $\lambda$ in the equation $x^2+4x+\lambda$ is a perfect square?

asked Oct 28, 2014 by sreemathi.v

1 answer

If $ax^2+bx+c=0$ has equal roots ,then $c=$_______

asked Oct 28, 2014 by sreemathi.v

1 answer

If the roots of the equation $(a^2+b^2)x^2-2b(a+c)x+(b^2+c^2)=0$ are equal,then

asked Oct 28, 2014 by sreemathi.v

1 answer

If the roots of the equation $(c^2-ab)x^2-2(a^2-bc)x+b^2-ac=0$ are equal,then $a^3+b^3+c^3=$______

asked Oct 28, 2014 by sreemathi.v

1 answer

If the roots of the equation $(a^2+b^2)x^2-2(ac+bd)x+(c^2+d^2)=0$ are equal,then $\large\frac{a}{b}$=______

asked Oct 28, 2014 by sreemathi.v

1 answer

If the roots of the equation $(b-c)x^2+(c-a)x+(a-b)=0$ are equal,then $2b=$_________

asked Oct 28, 2014 by sreemathi.v

1 answer

For what values of $k$ does the equation $kx^2+6x+1=0$ has real roots.

asked Oct 28, 2014 by sreemathi.v

1 answer

For what value of $k$ does the equation $3x^2+2x+k=0$ have real roots?

asked Oct 28, 2014 by sreemathi.v

1 answer

For what values of $k$ does the equation $x^2+5kx+16=0$ has no real roots.

asked Oct 28, 2014 by sreemathi.v

1 answer

For what values of $k$ will the equation $4x^2-3kx+1=0$ has real roots?

asked Oct 28, 2014 by sreemathi.v

1 answer

For what values of $k$ will the equation $9x^2+3kx+4=0$ have real roots?

asked Oct 28, 2014 by sreemathi.v

1 answer

For what values of $k$ will the equation $x^2+k(4x+k-1)+2=0$ have equal roots?

asked Oct 28, 2014 by sreemathi.v

1 answer

For what values of $k$ will the equation $(k+1)x^2-2(k-1)x+1=0$ have equal roots?

asked Oct 28, 2014 by sreemathi.v

1 answer

For what value of $k$ will the equation $kx^2-5x+k=0$ have equal roots?

asked Oct 28, 2014 by sreemathi.v

1 answer

The value of $\sqrt{6+\sqrt{6+\sqrt{6+..}}}$ is _______

asked Oct 28, 2014 by sreemathi.v

1 answer

For what value of $'c'$ will the quadratic equation $ax^2+2bx+c=0$ has equal roots.

asked Oct 28, 2014 by sreemathi.v

1 answer

The value of $k$ for which the quadratic equation $9x^2+8kx+16=0$ has equal roots is _______

asked Oct 20, 2014 by sreemathi.v

1 answer

If the sum of the roots of the quadratic equation $3x^2+(2k+1)x-(k+5)=0$ is equal to the product of the roots, then the value of $k$ is ________

asked Oct 17, 2014 by sreemathi.v

1 answer

The value of P for which the sum of squares of roots of equation $x^2-(p-2)x-(p+1)=0$ attains the least value is :

asked Apr 15, 2014 by sreemathi.v

1 answer

If $\omega$ is a complex root of unity, one root of the equation $\begin{vmatrix}x+1 &\omega&\omega^2\\\omega&x+\omega^2&1\\\omega^2&1&x+\omega\end{vmatrix}=0$ is

asked Apr 9, 2014 by sreemathi.v

1 answer

Given $x=2+5i$, the value of $x^3-5x^2+33x-19$ is

asked Apr 9, 2014 by sreemathi.v

1 answer

Let $a,b$ be real numbers between $0\; and\; 1$ such that $z_1=1+bi,z_2=a+i$ and $z_3=0$ forms an equilateral triangle then

asked Apr 9, 2014 by sreemathi.v

1 answer

If $\large\frac{1}{a},\frac{1}{b},\frac{1}{c} $ are in A.P., then the equation $a(b-c)x^2+b(c-a)x+c(a-b)=0$ has

asked Aug 8, 2013 by rvidyagovindarajan_1

1 answer

If the ratio of the roots of $ax^2+bx+c=0$ is equal to the roots of the equation $ x^2+x+1=0$, then $a,b,c$ are in ?

asked Aug 8, 2013 by rvidyagovindarajan_1

1 answer

If $\alpha$ is the fifth root of unity, then the value of $log_2 |1+\alpha+\alpha^2+\alpha^3-\large\frac{1}{\alpha}$$|=?$

asked Aug 6, 2013 by rvidyagovindarajan_1

1 answer

If $z_r(r=1,2,......7)$ are the roots of $(z_r+1)^7+z_r^7=0$, then $\sum\limits_{r=1}^{7} Re(z_r)=?$

asked Aug 6, 2013 by rvidyagovindarajan_1

1 answer

If $p,q\in \{1,2,3,4\},$ then the number of equations of the form $px^2+qx+1=0$ having real roots is?

asked Aug 6, 2013 by rvidyagovindarajan_1

1 answer

If $3+\sqrt 2 i$ is a root of of $x^2+px+q=0$, then $(p,q)=?$

asked Aug 6, 2013 by rvidyagovindarajan_1

1 answer

If $z$ is a complex number having non zero imaginary part and $z^2+z+1=a$ where $a$ is real, then $a$ cannot take which of the following values?

asked Aug 5, 2013 by rvidyagovindarajan_1

1 answer

The value of $b$ for which the eqns., $x^2+bx-1=0,\:x^2+x+b=0$ have one common root is

asked Aug 5, 2013 by rvidyagovindarajan_1

1 answer

If the eqns., $x^2-6x+a=0$ and $x^2-5x+6=0$ have one root in common and the other roots are in the ratio 4:3, then the common root is

asked Aug 5, 2013 by rvidyagovindarajan_1

1 answer

If $\cos\theta+2\cos\alpha+3\cos\beta=\sin\theta+2\sin\alpha+3\sin\beta=0$, then $\sin\;3\theta+8\sin\;3\alpha+27\sin\;3\beta=?$

asked Aug 2, 2013 by rvidyagovindarajan_1

1 answer

If $(\cos\alpha+i\sin\alpha)(\cos2\alpha+i\sin2\alpha)....(\cos n\alpha+i \sin n\alpha)$ = 1, then $\alpha$ = ?

asked Aug 2, 2013 by rvidyagovindarajan_1

1 answer

The common roots to the equations $z^3+2z^2+2z+1=0\:\:and\:\:z^{149}+z^{100}+1=0$ are

asked Aug 2, 2013 by rvidyagovindarajan_1

1 answer

If $z_r=cos(\large\frac{\pi}{3^r})$$+isin(\large\frac{\pi}{3^r})$, where $r=1,2,3...........then \:\:z_1.z_2.z_3.....................\infty=?$

asked Aug 1, 2013 by rvidyagovindarajan_1

1 answer

If $a=\cos\alpha+i \sin\alpha$, $b=\cos\beta+i \sin\beta$, $c=\cos\gamma+i\sin\gamma$ and $\large\frac{b}{c}+\frac{c}{a}+\frac{a}{b}$ = 1, then $\cos(\beta-\gamma)+\cos(\gamma-\alpha)+\cos(\alpha-\beta)$ = ?

asked Aug 1, 2013 by rvidyagovindarajan_1

1 answer

If $n$ is a positive integer, then $(1+i)^n+(1-i)^n=?$

asked Jul 31, 2013 by rvidyagovindarajan_1

1 answer

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