👤

Answer :

The mistake made by Abby in solving the quadratic equation was at Step 2, in which she did not simplify her answer correctly.

What is the solution of a quadratic equation?

A quadratic equation is modeled by:

[tex]y = ax^2 + bx + c[/tex]

The solutions are given by:

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

In this problem, Abby substituted correctly, but at the simplification, she made a mistake in the signal, as:

[tex](-6)^2 - 4(5)(-8) = 36 + 160[/tex]

Hence the mistake was in Step 2.

More can be learned about quadratic equations at https://brainly.com/question/24737967

Raphealnwobigo

Step 2 is not correct, she did not simplify under the square root correctly.

What is an equation?

An equation is an expression that shows the relationship between two or more variables and numbers.

Given the equation:

5x² - 6x - 8 = 0

a = 5, b = -6 and c = -8

From the equation:

[tex]x=\frac{-b \pm \sqrt{b^2-4ac} }{2a} \\\\Step\ 1:x=\frac{-(-6) \pm \sqrt{(-6)^2-4(5)(-8)} }{2(5)} \\\\Step\ 2:x=\frac{6\pm \sqrt{36+160} }{10}\\\\Step\ 3: x=-0.8\ AND\ x=2[/tex]

Step 2 is not correct, she did not simplify under the square root correctly.

find out more on equation at: https://brainly.com/question/2972832

Go Teaching: Other Questions