4x2 — 2 (a2 + b2) x + a2b2 = 0

4x2 — 2a2x+ 2b2x + a2b2 = 02x (2x – a2) – b2 (2x – a2) = 02x – b2 = 0 2x – a2 = 0

Q15 of 168 Page 7

4x² — 2 (a² + b²) x + a²b² = 0

4x² — 2a²x+ 2b²x + a²b² = 0

2x (2x – a²) – b² (2x – a²) = 0

2x – b² = 0 2x – a² = 0

10ax² — 6x + 15ax – 9 = 0, a ≠ 0

12abx² — (9a² — 8b²) x — 6ab = 0

Find the roots of the following quadratic equations, if they exist by the method of completing the square:

5x² – 6x – 2 = 0

Find the roots of the following quadratic equations, if they exist by the method of completing the square:

2x² – 5x + 3 = 0