Question

Find the zeros (roots) of the quadratic equation x^2−8x+12=0
A. -4, 6
B. 4, -4
C. 2, 6
D. -2, 3

Answer 1

Let us factorize the given quadratic equation:

\[x^2−8x+12=0 \rightarrow x^2−6x-2x+12=0 \]
\[\rightarrow x(x−6)-2(x-6)=0 \rightarrow (x−6)(x-2)=0 \]

i.e. either (x-2)=0 or (x−6) =0
i.e. x=2 or x=6
Thus the zeros (roots) of the quadratic equation are 2, 6
Hence, option C. 2, 6 is the correct answer.

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