Solve the following quadratic equation by using the quadratic formula. (Use the imaginary number i and just simplify as far as possible.)
\(x^2+x+11=5x-8\)
x^2 + x + 11 = 5x - 8 rearrange as
x^2 - 4x + 19 = 0
x = 4 ±√ [ (-4)^2 - 4 (1) (19) ]
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2(1)
x = 4 ±√ [ 16 - 76 ]
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2
x = 4 ±√ [ - 60 ]
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x = 4 ± 2i√15
x = 2 ± i√15
Thanks!