Question

using factorization ,find the roots of the quadratic equation:

Answer 1

Hey

Here is your answer,

X + 4/x = -4
X^2 + 4 = -4x
X^2 +4x +4=0
X^2 + 2x +2x +4=0
X(x+2) + 2(x+2)=0
(X+2)(x+2)=0
X+2=0
X=-2
X+2=0
X=-2

Hope it helps you!

Answer 2

$x + \frac{4}{ x} = - 4 \\ \\ \\ \frac{ {x}^{2} + 4}{x} = - 4 \\ \\ {x}^{2} + 4 = - 4x \\ \\ \\ {x}^{2} + 4x + 4 = 0 \\ \\ {x}^{2} + 2x + 2x + 4 = 0 \\ \\ x(x + 2) + 2(x + 2) = 0 \\ \\ (x + 2)(x + 2) = 0 \\ \\ x = - 2$




I hope this will help you


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