How do you solve the equation $4(x+5)^2=-64$ ?

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How do you solve the equation $4(x+5)^2=-64$ ?

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Answer 1 · 2017-06-20T07:03:25

$x=-5+-4i$

Explanation:

$"Isolate " (x+5)^2" by dividing both sides by 4"$

$rArr(x+5)^2=-16$

$(x+5)^2>=0" hence there are no real roots"$

$x+5=+-sqrt(-16)$

$color(white)(x+5)=+-4i$

$rArrx=-5+-4i$

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How do you solve the equation $4(x+5)^2=-64$ ?

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