Question

Write the sum of real roots of the equation x²+ x - 6 =0​

Answer 1

Answer:

First of all, the equation is x2 + |x| − 6 = 0

CASE 1: x>0 then |x| = x

⇒ x2 + x− 6 = 0

⇒ x2 + 3x – 2x – 6 = 0

⇒ (x + 3)(x−2) = 0

⇒ x = 2, – 3

CASE 2: x<0 |x| = – x

⇒ x2 − x − 6 = 0

⇒ x2 − 3x + 2x−6 = 0

⇒ (x − 3)(x + 2) = 0

⇒ x = −2, 3

So the sum of the roots is 2 + (– 3) + (– 2) + 3

= 0

Answer 2

Step-by-step explanation:

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