Question

Which equation results from taking the square root of both sides of (x 9)2 = 25? x 3 = ±5 x 3 = ±25 x 9 = ±5 x 9 = ±25.

Answer 1

The equation which is results from taking the square root of both sides of the provided equation is,

$(x+9)=\pm5$

What is the square root?

A square root of a number is the value which is when multiplicand by itself gives the same value as the number posses.

Let a number is a. Then this number in the form of square root can be written as,

$a=\sqrt{a}\times \sqrt{a}$

The given algebraic equation in the problem is,

$(x+ 9)^2 = 25$

Take the square root, in both sides,

$\sqrt{(x+ 9)^2} = \sqrt{25}\\\sqrt{(x+ 9)^2} = \sqrt{5^2}$

Cancel out the square root with the square of the number as,

$(x+9)=\pm5$

Hence, the equation which is results from taking the square root of both sides of the provided equation is,

$(x+9)=\pm5$

Learn more about the square root of number here;

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