Question

solve the equation x(6x-5)=11
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Answer 1

$Given \: equation : x(6x-5) = 11$

$\implies 6x^{2} - 5x = 11$

$\implies 6x^{2} - 5x - 11 = 0$

/* Splitting the middle term, we get */

$\implies 6x^{2} + 6x - 11 x - 11 = 0$

$\implies 6x( x + 1) - 11( x + 1 ) = 0$

$\implies (x+1)(6x-11) = 0$

$\implies x+1 = 0 \: Or \: 6x-11 = 0$

$\implies x = -1 \: Or \: 6x = 11$

$\implies x = -1 \: Or \: x = \frac{11}{6}$

Therefore.,

$\green {-1 \: and \: \frac{11}{6} \:roots \: of \: the}$

$\green { given \: equation}$

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