Recent questions tagged quadratic-equations

If $\omega$ is cube root of $1$ and $\alpha,\beta,\gamma$ are cube roots of $p$ , then for any real numbers $x,y,z$the value of $\large\frac{x\alpha+y\beta+z\gamma}{x\beta+y\gamma+z\alpha}$ is ?

asked Jul 28, 2013 by rvidyagovindarajan_1

1 answer

The solution of the equation $xlog2+log(1+2^x)-log6=0$

asked Jul 27, 2013 by rvidyagovindarajan_1

1 answer

The solution set of the equation $|x^2+x|=x^2+x$ is

asked Jul 27, 2013 by rvidyagovindarajan_1

1 answer

If the equations $x^2+bx+c=0$ and $x^2+cx+b=0$ have one common root, then

asked Jul 27, 2013 by rvidyagovindarajan_1

1 answer

If one root of the eqn., $x^2+px+12=0$ is 4, while the eqn., $x^2+px+q=0$ has equal roots, then the value of $q$=?

asked Jul 27, 2013 by rvidyagovindarajan_1

1 answer

The quadratic eqn., whose one root is $2-\sqrt 3i$ is given by ?

asked Jul 27, 2013 by rvidyagovindarajan_1

1 answer

If the roots of the eqn., $ax^2+bx+c=0$ are reciprocal to each other then,

asked Jul 27, 2013 by rvidyagovindarajan_1

1 answer

If the eqn., $x^2-m(2x-8)-15=0$ has equal roots, then $m=?$

asked Jul 27, 2013 by rvidyagovindarajan_1

1 answer

The numerical difference of the roots of $x^2-6x+6=0$ is ?

asked Jul 27, 2013 by rvidyagovindarajan_1

1 answer

If $a>0$, then $\sqrt {a+\sqrt {a+\sqrt{a+............}}}$=?

asked Jul 27, 2013 by rvidyagovindarajan_1

1 answer

The ratio of roots of $x^2+bx+c=0$ is same as the ratio of the roots of $x^2+qx+r=0$. Then which of the following is true?

asked Jul 26, 2013 by rvidyagovindarajan_1

1 answer

The number of roots of the eqn., $x-\large\frac{2}{x-1}$$=1-\large\frac{2}{x-1}$ is

asked Jul 25, 2013 by rvidyagovindarajan_1

1 answer

The product of all the roots of the eqn., $x^2-|x|-6=0$ is ?

asked Jul 25, 2013 by rvidyagovindarajan_1

1 answer

If $\alpha,\:\beta$ are roots of the equation $x^2+x+1=0$ then the equation whose roots are $\alpha^{19}\:\:and\:\:\beta^7$ is ?

asked Jul 24, 2013 by rvidyagovindarajan_1

1 answer

The number of solutions to the equation $|x|^2+3|x|+2=0$ is

asked Jul 24, 2013 by rvidyagovindarajan_1

1 answer

If $ix^2-x+12i=0$ then $x$ = ?

asked Jul 24, 2013 by rvidyagovindarajan_1

1 answer

If $y=\sqrt {x^2+6x+8}$, then the value of $\sqrt {1+iy}+\sqrt {1-iy}$= ?

asked Jul 24, 2013 by rvidyagovindarajan_1

1 answer

If $z_1,z_2$ are two complex numbers such that $\large|\frac{z_1+z_2}{z_1-z_2}|=1,$ then $\large\frac{z_1}{z_2}$ is ?

asked Jul 23, 2013 by rvidyagovindarajan_1

1 answer

If the equation $(a+1)x^2-(a+2)x+(a+3)=0$ has roots of equal magnitude and opposite signs, then the roots are

asked Jul 21, 2013 by rvidyagovindarajan_1

1 answer

If $\alpha,\beta $ are real and $z$ is complex number and $z^2+\alpha z +\beta=0$ has two distinct roots on the line $R_e z=1,$ then the values of $\beta$=?

asked Jul 18, 2013 by rvidyagovindarajan_1

1 answer

The roots of $ax^2+bx+c=0$ are $r$ and $s$. For the roots of $x^2+px+q=0$ to be $r^2$ and $s^2$, what must be the value of $p$ ?

asked Jul 17, 2013 by rvidyagovindarajan_1

1 answer

The sum of all real roots of the equation: $|x-2|^2+|x-2|-2=0$ is ?

asked Jul 17, 2013 by rvidyagovindarajan_1

1 answer

The equation $z^2=\overline z$ has how many solutions ?

asked Jul 16, 2013 by rvidyagovindarajan_1

1 answer

The integral solution of the equation $(1-i)^x=2^x$ is?

asked Jul 15, 2013 by rvidyagovindarajan_1

1 answer

If the complex numbers $sinx+icos2x$ and $cosx-isin2x$ are conjugate to each other, then $x=?$

asked Jul 15, 2013 by rvidyagovindarajan_1

1 answer

If the ratio of the roots of $ax^2+bx+c=0$ is equal to the ratio of the roots of $px^2+qx+r=0$ and if $D_1,\:D_2$ are their discriminants respectively, then $D_1:D_2=?$

asked Jul 14, 2013 by rvidyagovindarajan_1

1 answer

If the roots of the equation $x^2-4x-log_3 a=0$ are real, then the least value of $a$ is ?

asked Jul 14, 2013 by rvidyagovindarajan_1

1 answer

If the roots of the equation $x^3+bx^2+cx-1=0$ form an increasing G.P., then $b$ lies in which interval?

asked Jul 13, 2013 by rvidyagovindarajan_1

1 answer

If $\omega$ is the cube root of unity then the value of $\large\frac{a\omega+b+c\omega^2}{a\omega^2+b\omega+c}+\frac{a\omega^2+b+c\omega}{a+b\omega+c\omega^2}=?$

asked Jul 12, 2013 by rvidyagovindarajan_1

1 answer

Find the value of $\sqrt i.$

asked Jul 11, 2013 by rvidyagovindarajan_1

1 answer

If $(a_1+ib_1)(a_2+ib_2)......................(a_n+ib_n)=c+id$ then what is the value of $tan^{-1}\large\frac{b_1}{a_1}$+$tan^{-1}\large\frac{b_2}{a_2}$+............................$tan^{-1}\large\frac{b_n}{a_n}$?

asked Jul 9, 2013 by rvidyagovindarajan_1

1 answer

If $z$ is a complex number where $1+z+z^2=0$, then the value of $(z+\large\frac{1}{z}$$)^2+(z^2+\large\frac{1}{z^2}$$)^2+(z^3+\large\frac{1}{z^3}$$)^2+.......................(z^6+\large\frac{1}{z^6}$$)^2$ = ?

asked Jul 5, 2013 by rvidyagovindarajan_1

1 answer

Find the value of $ \sum_{n=1}^{200}i^n$

asked Jul 4, 2013 by rvidyagovindarajan_1

1 answer

The area of the triangle with vertices $z,iz\:\:and\:\:-iz$ is ?

asked Jul 4, 2013 by rvidyagovindarajan_1

1 answer

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