Y=x^2+12x+30 8x-y=10

Y = x² + 12x + 30

8x - y = 10

8x - y = 10

- 8x - 8x

-y = - 8x + 10

-1 - 1

y = 8x - 10

x² + 12x + 30 = 8x - 10

- 8x - 8x

x² + 4x + 30 = - 10

- 10 - 10

x² + 4x + 20 = 0

x = - b ± √b² - 4ac

2a

x = - 4 ± √4² - 4 (1) (20)

2 (1)

x = - 4 ± √16 - 4 (20)

2

x = - 4 ± √16 - 80

2

x = - 4 ± √-64

2

x = - 4 ± 8i

2

x = - 2 ± 4i

Y=x^2+12x+30

8x-y=10

sub x^2+12x+30 for y in the secodn equaiton

8x - (x^2+12x+30) = 10

8x-x^2-12x-30=10

-x^2-4x-30=10

times - 1

x^2+4x+30=-10

add 10 both sides

x^2+4x+40=0

use quadratic formula

we find that we have 2 imaginary roots and therefor are not on the real plane, they are not plotted on the imaginary plane

no real solution

x=-2+6i or - 2-6i

the interseciton on the imaginary plane is

(-2+6i, - 26+48i) or (-2-6i,-26-48i)