a2b2x2 + b2x – a2x — 1 = 0, a ≠ 0, b ≠ 0

b2x {a2x + 1} – 1 {a2x + 1} = 0(b2x – 1) (a2x + 1) = 0b2x – 1 = 0 a2x + 1 = 0Therefore, the roots of the equation are.

Q15 of 168 Page 7

a²b²x² + b²x – a²x — 1 = 0, a ≠ 0, b ≠ 0

b²x {a²x + 1} – 1 {a²x + 1} = 0

(b²x – 1) (a²x + 1) = 0

b²x – 1 = 0 a²x + 1 = 0

Therefore, the roots of the equation are.

Find the roots of the following quadratic equations by factorisation:

√7 y² – 6y — 13√7 = 0

Find the roots of the following quadratic equations by factorisation:

4x² — 4a²x + a⁴ — b⁴ = 0

36x² — 12ax + (a² — b²) = 0

10ax² — 6x + 15ax – 9 = 0, a ≠ 0