Question

11. x2 + x + 9 = 20

Solve equation using the quadratic formula write in irrational solutions in simplest radical form

Answer 1

problem 1: x^2 + 4 = 0 , x^2 = -4 , this problem has no real solution because x = 2i which is an imaginary number

problem 2: x^2 +x -6 = 0 , (x + 3)(x - 2) =0 , x = 2 or x = -3

problem 3: x^2 -6x +7 =0 , (x^2 -6x +9) - 2 =0 , (x - 3)^2 = 2 , x-3 = √2 , x = 3+√2 or x - 3 = -√2 , x = 3 - √2