Question 1
4 pts
Rewrite each equation so that the expression on one side could be graphed and the x-
intercepts of the
graph would show the solutions to the equation.
a. 3r? = 81

b. (x-1)(x+1)-9=5x

Cr? - Sx + 10 = 32

d. 6x(x-8)=29

Respuesta :

The equations will be re-written such that the expression on one side can be graphed and the x-intercepts of the graph would indicate the solution.

What are the re-written equations?

A) 3X² = 81

Rewritten, we have  3X² - 81 = 0

This is also = 3(X² - 27) = 0

B) (X - 1)(X + 1) - 9 = 5X

Open the brackets and we have X² - 1 - 9 - 5x = 0

Simplified, we have X² - 5X - 10 = 0

C) X² - 9x + 10 = 32

Collect like terms and we have:
X² - 9X - 22 = 0

D) 6x(x - 8) = 29

Expand the bracket and collect like terms such that the equation is equal to zero and we have

6X² - 48x - 29 = 0

Using Desmos Graphing, the following results can be obtained showing that x intercepts at:

(a) (-5.196, 0) & (5.196, 0)

(b) (-1.531, 0) & (6.531, 0)

(c) (-2, 0) & (11, 0)

(d) (-0.564, 0) & (8.564, 0)

Learn more about graphed equations at:
https://brainly.com/question/14323743