Question

Solve x ^ 2 - 3x = - 8 using the quadratic formula.

Answer 1

Answer:
`(3 +- √(23)i)/(2)` If using complex numbers, or undefined if using all real numbers

Explanation:

Moving -8 to the left side of the eq by adding both sides by 8=

x^2-3x+8=0

The quad formula:
`(-b +- √(b^2-4ac))/(2a)`

a=1 b=-3 c=8

Inserting a b c values into formula:
`(-(-3) +- √((-3)^2-4(1)(8)))/(2(1))`

Simplifying:
`(3 +- √(9-32))/(2)`

`(3 +- √(-23))/(2)` Since the square root of a negative number doesn't exist in the set of real numbers, the equation is undefined.

OR

`(3 +- √(23)i)/(2)` Using complex numbers i, to replace the negative number created by subtracting 9-32.