Solve the quadratic equation for all values of x in simpls form 4(x+8)^2=4

Tazmin Horton 2021-03-05 Answered
Solve the quadratic equation for all values of x in simpls form
\(\displaystyle{4}{\left({x}+{8}\right)}^{{2}}={4}\)

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Expert Answer

pattererX
Answered 2021-03-06 Author has 10609 answers

Dividing ot sides by 4
\(\displaystyle\frac{{{4}{\left({x}+{8}\right)}^{{2}}}}{{4}}=\frac{{4}}{{4}}\)
\(\displaystyle{\left({x}+{8}\right)}^{{2}}={1}\)
Taking square root on both sides
\(\displaystyle\sqrt{{{\left({x}+{8}\right)}^{{2}}}}=\sqrt{{1}}\)
\(x+8=+-1\)
When \(x+8=1\)
so, \(x=1-8\)
\(x=-7\)
When \(x+8=-1\)
so, \(x=-1-8\)
\(x=-9\)
The solution are \(x=-7\) and \(x=-9\)
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