Question

Solve the equation:
-149=x^2-24x

Answer 1

`-149=x^2-24x\\ x^2-24x+149=0\\ x^2-24x+144+5=0\\ (x-12)^2=-5\\ x-12=-√(-5) \vee x-12=√(-5)\\ x=12-√(5)i \vee x=12+√(5)i\\`

Answer 2

`-149=x^2-24x \\\\ x^2-24x+149=0 \\\\ a=1 \\ b=-24 \\ c=149 \\\\ \Delta=(-24)^2 -149*4= 576-596\to \boxed{-20} \\\\ x_1;x_2= (-(-24)+ /-1 √(20))/(2) = (24+/- 2i√(5))/(2) \\\\ x_1= (24+2i√(5))/(2)= (2(12+i√(5)))/(2) \to\boxed{\boxed{12+i√(5)}} \\\\ x_2=(24-2i√(5))/(2)=(2(12-i√(5))/(2)\to\boxed{\boxed{12-i√(5)}}`