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How to solve

√(4) x {}^(2) = x + 2


User Jpshook
by
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1 Answer

7 votes

Answer:


x=2,-(2)/(3)

Explanation:


√(4x^2)=x+2

➨ We can also solve by completing both squares, however. Since we can pull out the square root.


√(4x^2)=|2x| ➩ Define of Absolute Value/Square Root


√(x^2)=|x|

Thus, our new equation is ➩
|2x|=x+2

To solve an absolute-value equation, let there be two conditions.

➨ Where x ≥ 0


2x=x+2\\

Move x to another side


2x-x=2\\x=2

➨ Where x < 0


-2x=x+2\\-2x-x=2\\-3x=2\\x=(2)/(-3)\\x=-(2)/(3)

User Harry Kim
by
8.1k points

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