(x-7)^2=49

Jasonbradley

2 min read

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Jun 17, 2024

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Solving the Equation (x-7)^2 = 49

This equation is a quadratic equation in disguise, and we can solve it using a few simple steps.

Step 1: Take the Square Root of Both Sides

The first step is to get rid of the square on the left side of the equation. We can do this by taking the square root of both sides:

√((x-7)^2) = ±√49

This gives us:

x - 7 = ±7

Step 2: Isolate x

Now, we need to isolate the variable x. To do this, we add 7 to both sides of the equation:

x - 7 + 7 = ±7 + 7

This simplifies to:

x = ±7 + 7

Step 3: Solve for x

Finally, we can solve for x by considering both the positive and negative values of 7:

• For x = 7 + 7:
  • x = 14
• For x = -7 + 7:
  • x = 0

Solution

Therefore, the solutions to the equation (x-7)^2 = 49 are x = 14 and x = 0.