A. Extracting Square Roots. Quadratic equations that can be transformed in the form a be solved by applying the properties: 1. Ifk > 0. then x² = k has two real solutions or roots: x = 2. If k = 0, then x²k has one real solution or root: x = 0. 3. If k < 0, then x² = k has no real solutions or roots. The method of solving a quadratic equation x² = k is called square roots. Math 11 The square root method is used in solving incomplete equations of the form x²c, when e is a non-negative numbe The Square Root Property of Real Numbers VX7 = A shorter way of writing the two solutions u = write using double sign notation: u = ± √d. If u² d. then u- √ or ud for da 0. √ and u- jer GARE, Module) Eyle 1 Solve for the roots of x²-25 = 0. Solution: *²-25=0 x²-25=0 x² - 25 + 25 = 0 +25 *²= 25 = ±√25 Write the equation in the form x² = k. Addition property of equality Take the square roots of both sides of th * = ±5 x₁ = 5 X₂ = -5 Check against the original equation. For x = 5: 2-25-0 52-2520 25-2520 010 For x = -5: x²-25=0 (-5)²-2520 25-2520 0=0