How do i solve x^2+2x+16

Question

How do i solve  x^2+2x+16

Answer 1

I assume you mean, "how do you solve x² + 2x + 16 = 0"?

 

You solve it by factoring or using the quadratic formula.  In this case, the equation does not factor, so use the quadratic formula:

 

x = [-b ± √(b²-4ac)]/2a

 

Where:

a = the coefficient of the x² term = 1

b = the coefficient of the x term = 2

c = the constant term = 16

 

x = [-2 ± √(2²-4*16*1)]/2

 

x = [-2 ± √(-60)]/2

 

x = -1 ± i√15

 

Since we have the square root of a negative number, the roots are complex numbers (no real roots).

 

 

Answer 2

you need an equation to solve something.

 

For example, x² + 2x + 16 = 0 can be solved because there is an equal sign.

 

This is a quadratic equation because the highest power of the variable X is 2.

 

this trinomial can not be factored so you need to use the quadratic formula to solve for x.