Question

If the sum of the roots of the equation $x =$ be equal to the sum of their squares, then.

• A. $\varphi$
• B. $x^{2} + y^{2} = 25,\mspace{6mu} xy = 12$
• C. $x =$
• D. $x^{\log_{x}(1 - x)^{2}} = 9$

Answer 1

Answer: (C)

$x =$

Answer 2

Let $ax^{2} + bx + c = 0$ and $\alpha + \beta,$ be two roots of $\alpha^{2} + \beta^{2},$

Then $b\Delta = 0$and $cb \neq 0$

⇒ $c\Delta = 0$

So under condition $2x^{2} - (p + 1)x + (p - 1) = 0$

⇒ $\alpha - \beta = \alpha\beta$ ⇒ $3p^{2} = 5p + 2$.