Question

Select the correct answer. what is the solution set of y = x2 2x 7 and y = x 7? a. {(0, 7), (-1, 6)} b. {(0, 7), (-7, 0)} c. {(0, 7), (1, 8)} d. {(-2, 0), (4, 0)}

Answer 1

A

Explanation:

Answer 2

a. {(0, 7), (-1, 6)}

Explanation:

`y = x^(2) +2x+7\\y=x+7`

subtract the equations

`y = x^(2) +2x+7 \\- \ \ \ \ \ y=x+7\\y - y =x^(2) +2x+7-(x+7)\\0=x^(2) +x\\x = 0 \ and \ x= -1`

for
`y = x^(2) +2x+7`, substitute x = 0

`y = (0)^(2) +2(0)+7\\y = 0 +0+7\\y=7`

for
`y = x^(2) +2x+7`, substitute x = 0

`y = (-1)^(2) +2(-1)+7\\y = 1 -2+7\\y=6`