four times the difference of b and six is equal to b squared

Answer 1

4(b-6) = b^2

4b-24 = b^2

b^2 -4b + 24 = 0

b^2 -4b + 4 + 24 = 4

(b-2)^2 = 4-24 = -20

b-2 = + or - sqr(-20)

b = 2 + or - 2isqr5

b = 2 + 2isqr5 or 2-2isqr5

= about 2+ 4.4i or 2- 4.4i

there is no real solution, just 2 complex solutions