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

what are the possible solutions to the equation:

bryce2892

22.01.2022

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

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jghdvine

01.11.2022

Step-by-step explanation:

hope is right! :) if not sorry

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