SOLUTION: solve using the quadratic formula. round your answer to the nearest hundredth. {{{2x^2-4x-3=0}}} -----here's my try.------ step 1: x=-(-4)±√2^2-4(2)(-3)/2(2) step 2:

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons  -> Quadratic Equation Lesson -> SOLUTION: solve using the quadratic formula. round your answer to the nearest hundredth. {{{2x^2-4x-3=0}}} -----here's my try.------ step 1: x=-(-4)±√2^2-4(2)(-3)/2(2) step 2:      Log On


   

Question 291932: solve using the quadratic formula. round your answer to the nearest hundredth.
2x%5E2-4x-3=0
-----here's my try.------
step 1: x=-(-4)±√2^2-4(2)(-3)/2(2)
step 2: x=4±√4+24/4
step 3: x=4±√28/4
i don't know what to do past there. please help me, thank you.
Answer by richwmiller(17219) About Me  (Show Source):
You can put this solution on YOUR website!
You should write out the formula and be more clear and not run things together.
You used 2^2 instead of 4^2
you had a^2-4ac
%28-b%2B-+sqrt%28b%5E2-4%2Aa%2Ac%29%29%2F%282%2Aa%29
Solved by pluggable solver: SOLVE quadratic equation with variable
Quadratic equation ax%5E2%2Bbx%2Bc=0 (in our case 2x%5E2%2B-4x%2B-3+=+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=%28-4%29%5E2-4%2A2%2A-3=40.

Discriminant d=40 is greater than zero. That means that there are two solutions: +x%5B12%5D+=+%28--4%2B-sqrt%28+40+%29%29%2F2%5Ca.

x%5B1%5D+=+%28-%28-4%29%2Bsqrt%28+40+%29%29%2F2%5C2+=+2.58113883008419
x%5B2%5D+=+%28-%28-4%29-sqrt%28+40+%29%29%2F2%5C2+=+-0.58113883008419

Quadratic expression 2x%5E2%2B-4x%2B-3 can be factored:
2x%5E2%2B-4x%2B-3+=+2%28x-2.58113883008419%29%2A%28x--0.58113883008419%29
Again, the answer is: 2.58113883008419, -0.58113883008419. Here's your graph:
graph%28+500%2C+500%2C+-10%2C+10%2C+-20%2C+20%2C+2%2Ax%5E2%2B-4%2Ax%2B-3+%29