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10 points
Abby used the quadratic formula to find the zeros of the
function below. However, Abby made a mistake. What mistake
did Abby make? *
5x2 - 6x - 8 = 0
-
-b + b2 - 4ac
XE
2a
Step 1:
-(-6)(-6)2 - 4(5)(-8)
x=
2(5)
Step 2:
6 + V362 - 160
X =
10
Step 3:
6+1136
X =
= 3.97 AND X =
6-71136
10
10
-2.77
Step 1: She did not substitute her a, b and c values into the formula
correctly.
O Step 2: She did not simplify under the square root correctly.
O Step 3: She simplified her answers incorrectly.
She did not make a mistake and her answers are correct.

10 Points Abby Used The Quadratic Formula To Find The Zeros Of The Function Below However Abby Made A Mistake What Mistake Did Abby Make 5x2 6x 8 0 B B2 4ac XE class=

Sagot :

She did not simplify under the square root correctly.

Quadratic equation

Given the quadratic expression

5x^2 - 6x - 8 = 0

Using the general formula, we will have:

[tex]x =\frac{-b\pm \sqrt{b^2-4ac}}{2a}[/tex]

From the given equation;

a = 5

b  -6

c = -8

Substitute the values into the formula to have:

[tex]x =\frac{6\pm \sqrt{6^2-4(5)(-8)}}{2(5)}\\ x =\frac{6\pm \sqrt{36+120}}{10}\\x =\frac{6\pm 12.49}{10}\\[/tex]

From the given solution, we can see that she did not simplify under the square root correctly.

Learn more on general formula here; https://brainly.com/question/21466038