SOLUTION: Use the quadratic formula to solve the equation {{{5m^2 -11m + 3 = 0}}} Give your answers correct to two decimal places. I've tried doing it but unable to solve it, here i

Algebra ->  Quadratic Equations and Parabolas -> SOLUTION: Use the quadratic formula to solve the equation {{{5m^2 -11m + 3 = 0}}} Give your answers correct to two decimal places. I've tried doing it but unable to solve it, here i      Log On


   

Question 861451: Use the quadratic formula to solve the equation
5m%5E2+-11m+%2B+3+=+0
Give your answers correct to two decimal places.
I've tried doing it but unable to solve it, here is a link to the picture which properly shows the layout of the question.
http://gyazo.com/a066d0cdee33ee856d4a04c68906672d

Answer by richwmiller(17219) About Me  (Show Source):
You can put this solution on YOUR website!
complete the square.
(m-11/10)^2=61/100
Solved by pluggable solver: SOLVE quadratic equation with variable
Quadratic equation ax%5E2%2Bbx%2Bc=0 (in our case 5x%5E2%2B-11x%2B3+=+0) has the following solutons:

x%5B12%5D+=+%28b%2B-sqrt%28+b%5E2-4ac+%29%29%2F2%5Ca

For these solutions to exist, the discriminant b%5E2-4ac should not be a negative number.

First, we need to compute the discriminant b%5E2-4ac: b%5E2-4ac=%28-11%29%5E2-4%2A5%2A3=61.

Discriminant d=61 is greater than zero. That means that there are two solutions: +x%5B12%5D+=+%28--11%2B-sqrt%28+61+%29%29%2F2%5Ca.

x%5B1%5D+=+%28-%28-11%29%2Bsqrt%28+61+%29%29%2F2%5C5+=+1.88102496759067
x%5B2%5D+=+%28-%28-11%29-sqrt%28+61+%29%29%2F2%5C5+=+0.318975032409335

Quadratic expression 5x%5E2%2B-11x%2B3 can be factored:
5x%5E2%2B-11x%2B3+=+5%28x-1.88102496759067%29%2A%28x-0.318975032409335%29
Again, the answer is: 1.88102496759067, 0.318975032409335. Here's your graph:
graph%28+500%2C+500%2C+-10%2C+10%2C+-20%2C+20%2C+5%2Ax%5E2%2B-11%2Ax%2B3+%29