Question

Find the value of x, if a + 1 = 0 and x² + ax – 6 = 0.

Answer 1

If a + 1 = 0, then a = –1

Put this value in the given equation x² + ax – 6 = 0

x² – x – 6 = 0

⇒ x² – 3x + 2x – 6 = 0

⇒ x(x – 3) + 2(x – 3) = 0

⇒ (x – 3)(x + 2) = 0

If x – 3 = 0 or x + 2 = 0

Then x = 3 or x = –2