solve the following quadratic equation by extracting square roots (25-1)² = 225
Answer (1)
Answer:To solve the equation (2s-1)² = 225 by extracting square roots, first, take the square root of both sides of the equation. This results in two separate equations: 2s-1 = 15 and 2s-1 = -15. Solving these gives the solutions s = 8 and s = -7. Step-by-step explanation:Take the square root of both sides:√((2s-1)²) = ±√2252s - 1 = ±15 Solve for the two possible cases:Case 1: 2s - 1 = 15Add 1 to both sides: 2s = 16Divide both sides by 2: s = 8Case 2: 2s - 1 = -15Add 1 to both sides: 2s = -14Divide both sides by 2: s = -7Therefore, the solutions to the equation (2s-1)² = 225 are s = 8 and s = -
