Question

Solve the following equation using the square root method x2 = 25

Answer 1

Answer: The required solution of the given equation is x = 5, -5.

Step-by-step explanation: We are given to solve the following quadratic equation using the square root method :

`x^2=25~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)`

In square root method, we need to take the square roots on both sides of teh equation to find the solution.

From equation (i), we have

`x^2=25\\\\\Rightarrow x=\pm√(25)~~~~~~~~~~~~~[\textup{taking square roots on both sides}]\\\\\Rightarrow x=\pm√(5^2)\\\\\Rightarrow x=\pm5.`

Thus, the required solution of the given equation is x = 5, -5.

Answer 2

To solve this equation using the square root method, you must start by isolating the x variable.

To do this, square root the x squared and maintain the balance of the equation by square rooting the 25 on the other side. The square root cancels out the squared and the square root of 25 is 5.
So, this leaves you with:
x = 5

So your final solution for the equation is x = 5.

I hope this helps :)