Question

Which of the following is a solution of x2 + 4x + 10?

Answer 1

Answer:

$x=2+-i \sqrt{6}$

Step-by-step explanation:

$x^2 + 4x + 10$

To find out the solution we set the expression =0 and solve for x

$x^2 + 4x + 10=0$

Apply quadratic formula to solve for x

$x=\frac{-b+-\sqrt{b^2-4ac}}{2a}$

a=1, b=4, c=10 plug in the values in the formula

$x=\frac{-4+-\sqrt{4^2-4(1)(10)}}{2a}$

$x=\frac{-4+-\sqrt{-24}}{2(1)}$

The value of square root (-1) is 'i'

$x=\frac{-4+-2i\sqrt{6}}{2}$

Divide each term by 2

$x=2+-i\sqrt{6}$

Answer 2

X^2+4x+10=0

x^2+4x=-10

x^2+4x+4=-6

(x+2)^2=-6

x+2=±i√6

x=-2±i√6

So the correct answer is the third one down from the top.