Solving equation (1) 4x square + 4x-1 = 0 (1) 4X square + 4x-1 = 0 (2) X square - 2 √ 5 x + 5 = 0 (3) 3x square - 2X-4 = 0 (4) X squared - 2aX = B squared - a squared (A.B is constant)

Solving equation (1) 4x square + 4x-1 = 0 (1) 4X square + 4x-1 = 0 (2) X square - 2 √ 5 x + 5 = 0 (3) 3x square - 2X-4 = 0 (4) X squared - 2aX = B squared - a squared (A.B is constant)

(1) 4X square + 4x-1 = 0 ∵ a = 4, B = 4, C = - 1, Δ = 4 & # 178; - 4 × 4 × (- 1) = 32 > 0 ∵ X1 = (- 4 + √ 32) / 2 × 4 = (√ 2-1) / 2, X2 = (- 4 - √ 32) / 2 × 4 = (- √ 2-1) / 2 (2) x square - 2 √ 5 x + 5 = 0 (x - √ 5) &# 178; = 0