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laiz [17]
3 years ago
13

What is the answer? x^2 + 4x - 6 = 0

Mathematics
1 answer:
vodka [1.7K]3 years ago
8 0
First we have to find \Delta from the equation b^{2} -4ac where a, b and c are consecutive coefficients of the equation. In this case: a=1, b=4, c=-6

<span>\Delta =4^2-4*(-6)=16+24=40, </span>

Later we will need to use \sqrt{\Delta} sofor us \sqrt{40}. It can be then simplified to 2 \sqrt{10}.

Then we use quadratic formula x=\frac{-b\pm \sqrt{\Delta} }{2a} to see what are the options for x.

x=\frac{-4\pm 2\sqrt{10}}{2}
x=- 2 \pm \sqrt{10}

The answer for your question:
<span>x=- 2 + \sqrt{10} or x=- 2 - \sqrt{10}</span>
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