Question

find the Integers of the word problem 2x^2+2x-144=0​

Answer 1

$Given \:2x^{2} + 2x- 144 = 0$

/* Dividing each term by 2 , we get */

$\implies x^{2} + x - 72 = 0$

/* Splitting the middle term, we get */

$\implies x^{2} + 9x - 8x - 72 = 0$

$\implies x(x+9) -8(x+9) = 0$

$\implies (x+9)(x-8) = 0$

$\implies x + 9 = 0 \: Or \: x - 8 = 0$

$\implies x = - 9 \: Or \: x = 8$

Therefore.,

$\green { x = -9 \: or \: x = 8 }$

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