Question

Solve the equation using square roots x2-14=-10

Answer 1

take the root of both sides and solve


x =2,-2

Answer 2

Answer: The required solution is x = -2, 2.

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

`x^2-14=-10~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)`

In square root method, we take the square of the unknown variable on one side and the constant term on the other side. Then, we take the square roots on both sides.

From equation (i), we have

`x^2-14=-10\\\\\Rightarrow x^2=-10+14\\\\\Rightarrow x^2=4\\\\\Rightarrow x=\pm√(4)~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~[\textup{taking square root on both sides}]\\\\\Rightrarow x=-2,2.`

Thus, the required solution is x = -2, 2.