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Katyanochek1 [597]

3 years ago

14

What are the roots of the equation

id="TexFormula1" title=" {x}^{2} - 16x + 89 = 0" alt=" {x}^{2} - 16x + 89 = 0" align="absmiddle" class="latex-formula">
in simplest a+bi form?

1 answer:

densk [106]3 years ago

3 0

By completing the square,

$x^2-16x+89=x^2-16x+64+25=(x-8)^2+25=0$

$(x-8)^2=-25$

$x-8=\pm\sqrt{-25}$

$x=8\pm5i$

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makkiz [27]

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The complete area model is shown below.

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