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baherus [9]
3 years ago
15

How to solve

la1" title=" \sqrt{4} x {}^{2} = x + 2" alt=" \sqrt{4} x {}^{2} = x + 2" align="absmiddle" class="latex-formula">
​
Mathematics
1 answer:
Vikentia [17]3 years ago
3 0

Answer:

➩ x=2,-\frac{2}{3}

Step-by-step explanation:

\sqrt{4x^2}=x+2

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

\sqrt{4x^2}=|2x| ➩ Define of Absolute Value/Square Root

➩ \sqrt{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=\frac{2}{-3}\\x=-\frac{2}{3}

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