Respuesta :

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:

Solution of the equation [tex]2x^2+11x+5=0[/tex]  are:

D. x= -5

E. x= -1/2

Step-by-step explanation:

We are given a equation:

[tex]2x^2+11x+5=0[/tex]

Now, on solving the equation

[tex]2x^2+11x+5=2x^2+10x+x+5\\\\=2x(x+5)+1(x+5)\\\\=(2x+1)(x+5)[/tex]

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 [tex]2x^2+11x+5=0[/tex]  are:

D. x= -5

E. x= -1/2