Question

find roots of quadratic equation is 3x2-2x-5=10
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Answer 1

/* There is a mistake in the question. It may be like this */

$Given \: Quadratic\: equation :$

$3x^{2} - 2x - 5 = 0$

/* Splitting the middle term,we get */

$\implies 3x^{2} +3x -5x - 5 = 0$

$\implies 3x(x + 1) -5(x+1) = 0$

$\implies (x+1)(3x-5) = 0$

$\implies x+1= 0 \: Or \: 3x-5 = 0$

$\implies x = -1 \: Or \: 3x = 5$

$\implies x = -1 \: Or \: x = \frac{5}{3}$

Therefore.,

$\green { x = -1 \: Or \: x = \frac{5}{3}}$

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