Question

Solve x2 − 3x = −8 with complex solution

a. x equals quantity of 3 plus or minus I square root of 29 all over 2
b. x equals quantity of 3 plus or minus I square root of 23 all over 2
c. x equals quantity of negative 3 plus or minus I square root of 29 all over 2
d. x equals quantity of negative 3 plus or minus I square root of 23 all over 2

Answer 1

x² − 3x = −8,
x²-3x+8=0, a=1, b=-3, c=8
x1=(-b+√(b²-4ac))/2a,    x2=(-b-√(b²-4ac))/2a, 
x1=(--3+√(9-4*1*8))/2*1=(3+√(-23))/2=(3+i√23)/2

b. x equals quantity of 3 plus or minus I square root of 23 all over 2