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ira [324]
3 years ago
6

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

Mathematics
2 answers:
Sloan [31]3 years ago
4 0

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}

sattari [20]3 years ago
3 0
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.
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