Question

Find the product and fill in the blanks to write in standard complex number form

X^2+2x+10=0

Fill in the blanks to write the Solution: x=?

this is my first post so sorry if it look's weird

Answer 1

x^2 +2x +10 = 0

D = 4 -40 = - 36

x_1,2 = (-2 +/- sqrt(-36))/2 = (-2 +/- 6i)/2 = 2(-1 +/- 3i)/2 = -1 +/- 3i

x_1,2 = -1 +/- 3i or more understandably

x_1 = -1 -3i and x_2 = -1 +3i

hope this will help you