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Relation between Roots and Coefficients of a Quadratic Equation

If p and q ar...

Question

If p and q are the roots of the equation $x^{2} - 2 x - 1 = 0$ , find the quadratic equation in x whose roots are $(p + q)^{2}$ and $(p - q)^{2}$ :

x^{2} - 12 x + 32 = 0

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x^{2} + 32 x - 12 = 0

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x^{2} - 4 x + 8 = 0

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x^{2} + 8 x - 4 = 0

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Solution

The correct option is A $x^{2} - 12 x + 32 = 0$

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