(x+15)^2=6

2 min read Jun 16, 2024
(x+15)^2=6

Solving the Equation (x + 15)² = 6

This equation involves a squared term, which means we need to use the square root property to solve for x. Here's how:

1. Isolate the Squared Term

Begin by isolating the squared term on one side of the equation. In this case, it's already isolated:

(x + 15)² = 6

2. Take the Square Root of Both Sides

Take the square root of both sides of the equation. Remember that taking the square root results in both positive and negative solutions:

√(x + 15)² = ±√6

This simplifies to:

x + 15 = ±√6

3. Solve for x

Now, isolate x by subtracting 15 from both sides:

x = -15 ±√6

4. Simplify the Solution

We now have two possible solutions:

  • x = -15 + √6
  • x = -15 - √6

These are the exact solutions. You can approximate them to decimal form if needed.

Therefore, the solutions to the equation (x + 15)² = 6 are x = -15 + √6 and x = -15 - √6.

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