solve the quadratic equation by using the quadratic formula

Question

x^2+50=0                           and                             x^2-4x+13=0

Answer 1

x^2+50=0

x^2+0x+50=0

±√-200/2

(±√100√2√-1)/2

±10i√2/2 because √-1=i

x=±5i√2

it's easier to do the following than to use the quadratic formula:

x^2+50=0

x^2=-50

x=±√-50

x=±√25√2√-1

x=±5i√2

 

x^2-4x+13=0

(4±√16-52)/2

(4±√-36)/2

(4±√36√-1)/2

(4±6i)/2

x=2±3i