How do you solve x^2 + 2x + 10 = 0 using the quadratic formula?

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Answer 1 · 2018-04-30T22:11:35

#-1 +- 3i#

Our equation is #x^2 +2x +10 = 0# a = 1, b = 2, c = 10.

Now, using the quadratic formula #(-b +- sqrt(b^2 - 4ac))/(2a)# , we just plug in our values:

#(-2 +- sqrt(2^2 -(4 * 1 * 10)))/(2 * 1)#

Now simplify.

#(-2 +- sqrt(4 - 40))/(2)#

#(-2 +- sqrt(-36))/2#

#(-2 +- 6i)/2#

#-1 +- 3i#