If and 0 are the roots of the quadratic equation x2 x 0 then the quadratic expression x2 x...........

Mathematics (NDA) Quadratic Equations

If $\alpha$ and $\beta$ ( $\neq$ 0) are the roots of the quadratic equation x² + $\alpha$ x + $\beta$ = 0, then the quadratic expression -x² + $\alpha$ x + $\beta$ where x $\in$ R has

Least value -1/4

Least value -9/4

Greatest value 1/4

Greatest value 9/4

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Explanation:

α+β=−α,αβ=−β⇒αβ+β=0

⇒(α+1)β=0⇒α=−1(β≠0)
⇒2α+β=0
⇒β=2
∴−x²+αx+β=−x2−x+2
Greatest value= -(1+8)/(-49/4

By: Munesh Kumari

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If and 0 are the roots of the quadratic equation x2 x 0 then the quadratic expression x2 x...........

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Explanation:

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