SOLUTION: Solve this quadratic equation using the quadratic formula. 2x2 - 10x + 7 = 0 can you please show me how u get the answer please & thank you?!

Algebra ->  Quadratic Equations and Parabolas -> SOLUTION: Solve this quadratic equation using the quadratic formula. 2x2 - 10x + 7 = 0 can you please show me how u get the answer please & thank you?!      Log On


   

Question 467338: Solve this quadratic equation using the quadratic formula.
2x2 - 10x + 7 = 0
can you please show me how u get the answer please & thank you?!
Answer by jorel1380(3719) About Me  (Show Source):
You can put this solution on YOUR website!
2x2-10x+7=0
Solved by pluggable solver: SOLVE quadratic equation with variable
Quadratic equation ax%5E2%2Bbx%2Bc=0 (in our case 2x%5E2%2B-10x%2B7+=+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=%28-10%29%5E2-4%2A2%2A7=44.

Discriminant d=44 is greater than zero. That means that there are two solutions: +x%5B12%5D+=+%28--10%2B-sqrt%28+44+%29%29%2F2%5Ca.

x%5B1%5D+=+%28-%28-10%29%2Bsqrt%28+44+%29%29%2F2%5C2+=+4.1583123951777
x%5B2%5D+=+%28-%28-10%29-sqrt%28+44+%29%29%2F2%5C2+=+0.8416876048223

Quadratic expression 2x%5E2%2B-10x%2B7 can be factored:
2x%5E2%2B-10x%2B7+=+2%28x-4.1583123951777%29%2A%28x-0.8416876048223%29
Again, the answer is: 4.1583123951777, 0.8416876048223. Here's your graph:
graph%28+500%2C+500%2C+-10%2C+10%2C+-20%2C+20%2C+2%2Ax%5E2%2B-10%2Ax%2B7+%29