Question

F(x)=x^2+6x+10=0

How do I solve

Answer 1

no x-intercepts

Explanation:

to solve this problem you can use the Quadratic Formula:

-b ±
`√(b^2-4ac)` ÷ 2a

for x² + 6x + 10 ⇒ a=1, b=6, c=10

-6 ±
`√(6^2-4(1)(10))` ÷ 2(1)

-6 ±
`√(-4)` ÷ 2 equals:

-3±4i ⇒ 'i' refers to an imaginary number because you cannot take the square root of a negative value; so this indicates the curve will not have any x-intercepts