Solve for x: 4x^2 + 2 (2x + 2) ^2 = 100

Question

Mathematics

Hester

18 August, 10:19

Solve for x: 4x^2 + 2 (2x + 2) ^2 = 100

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Reuben Roberts · Answer 1

Let's solve your equation step-by-step. 4 x2 + 2 (2x + 2) 2 = 100 Step 1: Simplify both sides of the equation. 12 x2 + 16x + 8 = 100 Step 2: Subtract 100 from both sides. 12 x2 + 16x + 8 - 100 = 100-100 12 x2 + 16x - 92 = 0 Step 3: Use quadratic formula with a=12, b=16, c=-92. x = - b ± √ b2 - 4a c 2a x = - (16) ± √ (16) 2 - 4 (12) (-92) 2 (12) x = - 16 ± √4672 24 x = - 2 3 + 13 √73 or x = - 2 3 + - 1 3 √73 Answer: x = - 2 3 + 13 √73 or x = - 2 3 + - 1 3 √ 73

Cassius Hurley · Answer 2

Would it be 4 (1) ^2+2 (2 (1) + 2) ^2=100