1. Explain why the equation has two solutions. Then solve the equation to find the solutions. Show your work.

Some equations have two solutions because a quadratic expression can be written as the product of two linear factors and each factor can be equated to zero, So there exist two solution.

The answer to the quation is x = -2 or x =10

Step-by-step explanation:

Answer Link

abidemiokin abidemiokin · Answer 2 · 2022-04-26T11:34:52+02:00

Quadratic equation are equations with a leading degree of two. The solutions to the given quadratic equation is 10 or -2

Solution to quadratic equation

Quadratic equation are equations with a leading degree of two. Given the equation

(x-4)^2-28=8

The equation has two solution because it has a leading degree of 2.

Given

(x-4)^2-28=8

Add 28 to both sides

(x-4)^2-28 + 8=8 + 8

(x-4)^2= 36

Take square root of both sides

√(x-4)^2= ±√36

x - 4 = ±6
x = 6 + 4 or -6 + 4
x = 10 or -2

Hence the solutions to the given quadratic equation is 10 or -2

Learn more on quadratic solution here: https://brainly.com/question/1214333