Question

What are the possible solutions to the equation: x-12 = sqrt x+44

Answer 1

possible solutions for equation  $x-12 = \sqrt{x+44}$ is  $x=5 , x=20$

Step-by-step explanation:

Here we have to find  the possible solutions to the equation: x-12 = sqrt x+44 .Let's find out:

⇒ $x-12 = \sqrt{x+44}$

⇒ $(x-12)^2 = (\sqrt{x+44})^2$

⇒ $(x^2+144-24x) =x+44$

⇒ $(x^2+144-24x) -(x+44) =0$

⇒ $(x^2+100-25x) =0$

⇒ $x^2-25x+100 =0$

⇒ $x^2-20x-5x+100 =0$

⇒ $x(x-20-5(x-20) =0$

⇒ $(x-5)(x-20)=0$

⇒ $x-5=0 , x-20=0$

⇒ $x=5 , x=20$

Therefore , possible solutions for equation  $x-12 = \sqrt{x+44}$ is  $x=5 , x=20$