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Q)

<√p+q÷√q+p-√p-q÷√q-p

<√p+q÷√q+p-√p-q÷√q-p

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A)

the equation should be

x = (√p+q + √p-q ) / (√p+q - √p-q )

 

x = (√(p + q)   + √(p-q))/(√(p + q)   - √(p-q))

 

Multiplying & diving by √(p + q)   + √(p-q)

 

=> x = (p + q + p - q + 2√(p² - q²) )/ ( (p + q) - (p - q))

 

=> x  = 2 ( p + √(p² - q²) ) / 2q

 

=> x = ( p + √(p² - q²) ) / q

 

=> qx = p + √(p² - q²)

 

=> qx - p = √(p² - q²)

 

Squaring both sides

 

=> q²x² +  p² - 2pqx  = p² - q²

 

=> q²x² - 2pqx  = - q²

 

diving by q both sides

 

=> qx² - 2px = -q

 

=> qx² - 2px + q = 0

 

 

 

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