Factorise by factorisation method: 4 x square + 4 bx minus A square minus b square.
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Answer:
x₁ = (a - b) / 2
x₂ = - (a + b) / 2
Step-by-step explanation:
4x² + 4bx - (a² - b²) = 0
4x² + 4bx - a² + b² = 0
4x² + 4bx + b² - a² = 0
(4x + 2b)(4x + 2b)/4 - a² = 0
2(2x + b)2(2x + b)/4 - a² = 0
(2x + b)² - a² = 0
(2x + b - a)(2x + b + a) = 0
2x + b - a = 0
2x = a - b
x₁ = (a - b) / 2
2x + b + a = 0
2x = - a - b
x₂ = - (a + b) / 2
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