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Mathematics

Solve the following equations by factorisation:

x2 + 6x - 16 = 0

Quadratic Equations

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Answer

Given,

⇒x2+6x−16=0⇒x2+8x−2x−16=0⇒x(x+8)−2(x+8)=0⇒(x−2)(x+8)=0⇒x−2=0 or x+8=0⇒x=2 or x=−8\Rightarrow x^2 + 6x - 16 = 0 \\[1em] \Rightarrow x^2 + 8x - 2x - 16 = 0 \\[1em] \Rightarrow x(x + 8) - 2(x + 8) = 0 \\[1em] \Rightarrow (x - 2)(x + 8) = 0 \\[1em] \Rightarrow x - 2 = 0 \text{ or } x + 8 = 0 \\[1em] \Rightarrow x = 2 \text{ or } x = -8

Hence, roots of given equation are 2, -8.

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