Question

Find the value of x, if a + 7 = 0; b + 10 = 0 and 12x² = ax – b.

Answer 1

If a + 7 = 0, then a = –7

And b + 10 = 0, then b = –10

Put these values of a and b in the given equation.

12x² = (–7)x – (–10)

⇒ 12x² + 7x – 10 = 0

⇒ 12x² + 15x – 8x – 10 = 0

⇒ 3x(4x + 5) – 2(4x + 5) = 0

⇒ (4x + 5)(3x – 2) = 0

If 4x + 5 = 0 or 3x – 2 = 0

Then x = `(-5)/4` or x = `2/3`