Q:

What are the solutions of 2x2 + 3x= βˆ’8? (6 points) Select one: a. the quantity negative 3 plus or minus i square root of 41 all over 4 b. the quantity negative 3 plus or minus i square root of 55 all over 4 c. the quantity negative 3 plus or minus i square root of 21 all over 4 d. the quantity negative 3 plus or minus i square root of 15 all over 4

Accepted Solution

A:
2xΒ²+3x+8=0
this cannot be factored, so use the quadratic formula to solve:
x=[-b+√(b²-4ac)]/(2a) or x=[-b-√(b²-4ac)]/(2a), a=2, b=3, c=8 in this case
3Β²-4*2*8=-55
the answer is b.Β