(x+15)^2-10=0

less than a minute read Jun 16, 2024

Solving the Equation: (x+15)² - 10 = 0

This article explores how to solve the quadratic equation (x+15)² - 10 = 0. We will use algebraic techniques to find the solutions for x.

Step 1: Isolate the Squared Term

Begin by isolating the squared term:

(x+15)² = 10

Step 2: Take the Square Root of Both Sides

To get rid of the square, take the square root of both sides of the equation. Remember that taking the square root results in both a positive and negative solution:

x + 15 = ±√10

Step 3: Solve for x

Finally, isolate x by subtracting 15 from both sides:

x = -15 ±√10

Solutions

Therefore, the solutions for the equation (x+15)² - 10 = 0 are:

x = -15 + √10
x = -15 - √10

These are the two values of x that satisfy the given equation.