Find the value of the constant ‘m’ if :
y = – 1 is a root of the quadratic equation $7 + 4 (m + 2) y - y^{2}$ = 0.

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Solution

If y = – 1 is a root of the quadratic equation $7 + 4 (m + 2) y - y^{2} = 0$ , then

$\Rightarrow$ $7 + 4 (m + 2) (- 1) - (- 1)^{2}$ = 0

$\Rightarrow$ 7- 4m - 8 - 1 = 0,

$\Rightarrow$ m = - $\frac{1}{2}$

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