Question

X^2+x - 306 =0
Find the roots

Answer 1

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${x}^{2} + x - 306 = 0 \\ {x}^{2} - 17x + 18x - 306 = 0 \\ (x - 17)(x + 18) = 0 \\ x = 17 \: or \: - 18$
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Answer 2

Answer :

Now,

x² + x - 306 = 0

⇒ x² + (18 - 17)x - 306 = 0

⇒ x² + 18x - 17x - 306 = 0

⇒ x (x + 18) - 17 (x + 18) = 0

⇒ (x + 18) (x - 17) = 0

So, either x + 18 = 0 or, x - 17 = 0

⇒ x = - 18 & x = 17

Therefore, the roots of the given equation are
x = - 18, 17

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