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In $3-14$ , use the quadratic formula to find the roots of each equation. Irrational roots should be written in simplest radical form. $$x^{2}-8=0$$

2$\sqrt{2}$ and $-2 \sqrt{2}$

Algebra

Chapter 5

QUADRATIC FUNCTIONS AND COMPLEX NUMBERS

Section 2

The Quadratic Formula

Equations and Inequalities

Quadratic Functions

Complex Numbers

Polynomials

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Lectures

01:32

In mathematics, the absolu…

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In $3-14$ , use the quadra…

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in this exercise, we want to use the quadratic formula to find our roots. So one of the quadratic formula is opposite B plus or minus the square root B squared minus for a C over to a Let's put everything in. We have to really quickly know that we don't actually have a B term is just gonna be zero because this is technically X squared plus zero x minus eight people zero. So we use be a zero so far Everything in office +000 plus or minus the square root of zero squared minus four times a which is one time see which is negative. Eight over to a so two times one. So let's clean this up. You have a plus or minus the square root of, So we have zero minus four times. One has negative eight. So it's just positive. Four times eight, which is 32 squared of 32. Over to that, we can actually a simplify squirt of 32 because the square that goes into this is 16. We know 30 to 16 times two, so we can take that 16. I may get force we have plus or minus for fruit to over two. So this becomes when we divide the four and two plus or minus two or two. So our roots are two or two and negative to her, too.

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