Solving Radical Equations

Then I'll square-root both sides, remembering the ± on the numerical side, and then I'll simplify: ( x − 5) 2 − 100 = 0 ( x − 5) 2 = 100 \small { \sqrt { (x - 5)^2\,} = \pm \sqrt {100\,} } (x−5)2 =± 100 x − 5 = ±10 x = 5 ± 10 x = 5 − 10 or x = 5 + 10 x

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Solve by taking the square root of both sides. 3(x+4)^2-24=0

It is important to understand that not all quadratics have to be solved using factoring or quadratic formula. When we only have one variable but it is squared we can just use inverse operations to

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Solving An Equation By Taking The Square Root

Solve by taking the square root of both sides. 3(x+4)^2-24=0 - 10577402. gracencleveland gracencleveland 06/29/2018 Mathematics High School answered Solve by

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Solve Radical Equations – Intermediate Algebra

7 Answers Sorted by: 13 As 2 = ( 2) 2, we can transform x 2 = 2 into x 2 − ( 2) 2 = 0, or ( x + 2) ( x − 2) = 0. Now we use that a product is zero iff at least one of its factors is zero. Alternatively, if you want to procede by applying