SOLUTION: I am having a problem with this problem, can you please help clarify. Thank you so much. Use quadratic formula to solve: 5x^2+5x+1= 0 Thank you in advance for your expert

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Question 114347: I am having a problem with this problem, can you please help clarify. Thank you so much.
Use quadratic formula to solve:
5x^2+5x+1= 0
Thank you in advance for your expertise.
Found 2 solutions by solver91311, MathLover1:
Answer by solver91311(24713)   (Show Source): You can put this solution on YOUR website!


All you need to do is plug the coefficients into the quadratic formula and then do the arithmetic.

Solved by pluggable solver: SOLVE quadratic equation with variable
Quadratic equation (in our case ) has the following solutons:



For these solutions to exist, the discriminant should not be a negative number.

First, we need to compute the discriminant : .

Discriminant d=5 is greater than zero. That means that there are two solutions: .




Quadratic expression can be factored:

Again, the answer is: -0.276393202250021, -0.723606797749979. Here's your graph:



The plug in solver did the calculator math, but I would just leave the solution as:

and

since I expect your instructor wants the exact solution in this case.

I'll leave it as an exercise for you to plug each of these values for x back into the original equation to check them.

Hope this helps.
John
Answer by MathLover1(20849)   (Show Source): You can put this solution on YOUR website!

















Check:
…..plug in






…..plug in








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