Question

Solve x2 - 3x = -8 using the quadratic formula.

Answer 1

No solutions

Explanation:

`(-b ± √(b^2-4ac) )/(2a)`

Add 8 on both sides to make it into the form ax^2 + bx + c = 0

x^2 - 3x + 8 = -8 + 8

x^2 - 3x + 8 = 0

Now it is in the correct form, we can plug our numbers in.

a: 1

b: -3

c: 8

`(3 ± √(-3^2 - 4(1)(8)) )/(2(1))`

`(3 ± √(-23) )/(2(1))`

Because the discriminant, or b^2 - 4ac is negative, there are no solutions.