(x+7)^2=100

less than a minute read Jun 17, 2024

Solving the Equation (x+7)^2 = 100

This equation presents a simple quadratic equation that can be solved using a few steps. Here's how to solve for x:

1. Take the Square Root of Both Sides

To get rid of the square on the left side, take the square root of both sides of the equation:

√((x+7)²) = ±√100

This gives us:

x + 7 = ±10

2. Solve for x

Now we have two separate equations to solve:

For the first equation, subtract 7 from both sides:

x = 10 - 7 x = 3

For the second equation, subtract 7 from both sides:

x = -10 - 7 x = -17

Therefore, the solutions to the equation (x+7)² = 100 are x = 3 and x = -17.