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

1 answer:

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: $a=1, b=4, c=-6$

 $\Delta =4^2-4*(-6)=16+24=40$ , 

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:
 $x=- 2 + \sqrt{10}$ or $x=- 2 - \sqrt{10}$

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Step-by-step explanation:

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Step-by-step explanation:

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We use a z table. Look in the cells; find the values as close to 0.05 and 0.95 as we can get.

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Now we use our z score formula,

$z=\frac{X-\mu}{\sigma}$