Question

Solve each quadratic equation by square roots. Show all work. x² = 40

Answer 1

x² = 40 are x = 2√10 and x = -2√10.

Explanation:

Step 1: Take the square root of both sides of the equation to remove the squared term on the left side. √(x²) = √40 Step 2: Simplify each side of the equation. x = ± √40 Step 3: Simplify the square root of 40. x = ± √(4 × 10) x = ± √4 × √10 x = ± 2√10 So, the solutions to the quadratic equation x² = 40 are x = 2√10 and x = -2√10.