(x+2)2=3+10

less than a minute read Jun 16, 2024
(x+2)2=3+10

Solving the Equation (x+2)^2 = 3 + 10

This article will walk you through solving the equation (x+2)^2 = 3 + 10.

Simplifying the Equation

First, we need to simplify the right side of the equation:

(x+2)^2 = 13

Taking the Square Root

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

√(x+2)^2 = ±√13

This leaves us with:

x + 2 = ±√13

Isolating x

Now, we need to isolate x. To do this, subtract 2 from both sides:

x = -2 ±√13

The Solutions

Therefore, the solutions to the equation (x+2)^2 = 3 + 10 are:

  • x = -2 + √13
  • x = -2 - √13

These are the two possible values of x that satisfy the original equation.

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