# How do you solve #2x^2+9x+10=0#?

##### 2 Answers

Dec 22, 2016

#### Explanation:

Use improved quadratic formula (Socratic Search)

Both roots are negative. (rule of signs)

There are 2 real roots:

Dec 22, 2016

#### Explanation:

Given:

#2x^2+9x+10 = 0#

We can use an AC method.

Find a pair of factors of

The pair

Use this pair to split the middle term and factor by grouping:

#0 = 2x^2+9x+10#

#color(white)(0) = 2x^2+5x+4x+10#

#color(white)(0) = (2x^2+5x)+(4x+10)#

#color(white)(0) = x(2x+5)+2(2x+5)#

#color(white)(0) = (x+2)(2x+5)#

Hence solutions:

#x = -2" "# or#" "x = -5/2#