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14 February, 17:49

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

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  1. 14 February, 18:46
    0
    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
  2. 14 February, 19:32
    0
    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)
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