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shusha [124]
3 years ago
12

How do you solve this by using square roots?

itle="2(x-2)^2-8=-4" alt="2(x-2)^2-8=-4" align="absmiddle" class="latex-formula">
Mathematics
1 answer:
Olenka [21]3 years ago
7 0

Answer:

x = 2 ± \sqrt{2}

Step-by-step explanation:

isolate (x - 2)² by adding 8 to both sides and dividing by 2

2(x - 2)² = 4

(x - 2)² = 2 ( take the square root of both sides )

\sqrt{(x-2)^2} = ± \sqrt{2}

x - 2 = ± \sqrt{2} ( add 2 to both sides )

x = 2 ± \sqrt{2} ← solutions



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