SOLUTION: Solve by using the quadratic formula. 5x^2+5x=3 a. -5+-square root 85 over 10 b. -5+-square root 85 over 5 c. -5+-square root 40 over 5 d. -5+-square root 40 over 10

Question 102583: Solve by using the quadratic formula. 5x^2+5x=3
a. -5+-square root 85 over 10
b. -5+-square root 85 over 5
c. -5+-square root 40 over 5
d. -5+-square root 40 over 10
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Start with the given equation

Subtract 3 from both sides

Starting with the general quadratic

the general solution using the quadratic equation is:

So lets solve ( notice , , and )

Plug in a=5, b=5, and c=-3

Square 5 to get 25

Multiply to get

Combine like terms in the radicand (everything under the square root)

Multiply 2 and 5 to get 10

So our answer is:

which means the answer is A
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