Examples of equations illustrating the Square Root Property in algebra.

A math educational image showing the "Square Root Property" with four equations: 4x² + 1 = 50, 3(x-2)² = 27, 5x² - 45 = 0, and 3x² = 48, with one equation highlighted in red: x² + 10x + 25 = 16.

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Show Answer Key & Explanations Step-by-step solution for: How To Solve Quadratic Equations Using The Square Root Property | Algebra

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- Solve 4x² + 1 = 50:
Subtract 1: 4x² = 49
Divide by 4: x² = 49/4
Take square root: x = ±7/2

- Solve 3(x - 2)² = 27:
Divide by 3: (x - 2)² = 9
Take square root: x - 2 = ±3
Add 2: x = 5 or x = -1

- Solve 5x² - 45 = 0:
Add 45: 5x² = 45
Divide by 5: x² = 9
Take square root: x = ±3

- Solve 3x² = 48:
Divide by 3: x² = 16
Take square root: x = ±4

- Solve x² + 10x + 25 = 16:
Recognize left side as perfect square: (x + 5)² = 16
Take square root: x + 5 = ±4
Subtract 5: x = -1 or x = -9

Parent Tip: Review the logic above to help your child master the concept of solving square root equations worksheet algebra 2.

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