Question

Find the roots of the quadratic equation :
x² - 6x = -8​

Answer 1

$\huge\boxed{\underline{\underline{\green{\tt Solution}}}} </p><p>$

${x}^{2} - 6x = - 8$

$\implies \: {x}^{2} - 6x + 8 = 0$

$\implies \: {x}^{2} - 4x - 2x+ 8 = 0$

$\implies \: x(x - 4) - 2(x - 4)= 0$

$\implies \: (x - 4)(x - 2) = 0$

So

$(x - 4) = 0 \: \: \: gives \: \: \: x = 4$

Again

$(x - 2) = 0 \: \: gives \: \: x = 2$

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Answer 2

x^2-x=-8/6

x^2-x=-4/3

x-x=√-4/3

2x=2√-1/3

x=2√-1/3

2

x=√-1/3

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