(2x+5)^2=49

Jasonbradley

2 min read

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Jun 16, 2024

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Solving the Equation (2x + 5)² = 49

This equation involves a squared term, so we need to use the square root property to solve it. Here's how:

1. Take the Square Root of Both Sides

The first step is to take the square root of both sides of the equation. Remember that when you take the square root, you need to consider both positive and negative solutions:

√((2x + 5)²) = ±√49

This simplifies to:

2x + 5 = ±7

2. Solve for x

Now we have two separate equations to solve:

• Equation 1: 2x + 5 = 7
• Equation 2: 2x + 5 = -7

Solving Equation 1:

1. Subtract 5 from both sides: 2x = 2
2. Divide both sides by 2: x = 1

Solving Equation 2:

1. Subtract 5 from both sides: 2x = -12
2. Divide both sides by 2: x = -6

3. Solution

Therefore, the solutions to the equation (2x + 5)² = 49 are x = 1 and x = -6.