Question

Solve for x in the equation x squared minus 12 x + 59 = 0.

Answer 1

x ∈ { ( 6 +
`√(23)` * i) , { ( 6 -
`√(23)` * i) }

Explanation:

Given:
`x^2-12x+59=0`

First, collect like terms.
`x^2` and -12x, 59 and 0:

`x^2-12x=0-59`

+59 is changed to -59 when transferred. Then subtract:

( x - 12 ) x = -59

Finally divide both sides by -59:

x ∈ { ( 6 +
`√(23)` * i) , { ( 6 -
`√(23)` * i) }