Question

Find the solutions to the equation below check all that apply

2x^2+11x+5=0

A. x=-3
B. x=4
C. x=2
D. x=-5
E. x=-1/2
F. x=3

Answer 1

Using the diamond, I get the factors 10/2 and 1/2. 2x^2+11x+5 factors to (2x+1)(x+5)=0
2x+1=0 2x=-1 x=-1/2
x+5=0 x=-5
Answer is D and E

Answer 2

Solution of the equation
`2x^2+11x+5=0` are:

D. x= -5

E. x= -1/2

Explanation:

We are given a equation:

`2x^2+11x+5=0`

Now, on solving the equation

`2x^2+11x+5=2x^2+10x+x+5\\\\=2x(x+5)+1(x+5)\\\\=(2x+1)(x+5)`

Hence, (2x+1)(x+5)=0

⇒ either 2x+1=0 or x+5=0

⇒ either x= -1/2 or x= -5

Hence, solution of the equation
`2x^2+11x+5=0` are:

D. x= -5

E. x= -1/2