Question

$x {2} - 8x + 12 = 0$
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Answer 1

$\star\:\:\:\bf\large\underline\blue{Question:-}$

• Find the roots of the quadratic equation ${x}^{2} - 8x + 12 = 0$

$\star\:\:\:\bf\large\underline\blue{Solution:-}$

${x}^{2} - 8x + 12 = 0$

$\implies {x}^{2} - 6x - 2x + 12 = 0$

$\implies x(x - 6)- 2(x - 6)= 0$

$\implies (x- 2)(x - 6)= 0$

Therefore, either $(x-2) =0$ or $(x-6)=0$

So,

$x - 2 = 0$

$\implies x = 2$

Also,

$x - 6= 0$

$\implies x = 6$

$\star\:\:\:\bf\large\underline\blue{Answer:-}$

• The roots of the quadratic equation are 2 and 6.