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

Answer:

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

Step-by-step 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

$y = (-1)^{2} +2(-1)+7\\y = 1 -2+7\\y=6$