SOLUTION: how would you solve a question if the asked you " solve thee equation a2+5a+2=0, giving your answer in 2 decimal places", i dont undersatnd how to give your answer in two decimal p

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons  -> Quadratic Equation Lesson -> SOLUTION: how would you solve a question if the asked you " solve thee equation a2+5a+2=0, giving your answer in 2 decimal places", i dont undersatnd how to give your answer in two decimal p      Log On


   



Question 380106: how would you solve a question if the asked you " solve thee equation a2+5a+2=0, giving your answer in 2 decimal places", i dont undersatnd how to give your answer in two decimal places
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
a2+5a+2=0
Solved by pluggable solver: SOLVE quadratic equation (work shown, graph etc)
Quadratic equation ax%5E2%2Bbx%2Bc=0 (in our case 1x%5E2%2B5x%2B2+=+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=%285%29%5E2-4%2A1%2A2=17.

Discriminant d=17 is greater than zero. That means that there are two solutions: +x%5B12%5D+=+%28-5%2B-sqrt%28+17+%29%29%2F2%5Ca.

x%5B1%5D+=+%28-%285%29%2Bsqrt%28+17+%29%29%2F2%5C1+=+-0.43844718719117
x%5B2%5D+=+%28-%285%29-sqrt%28+17+%29%29%2F2%5C1+=+-4.56155281280883

Quadratic expression 1x%5E2%2B5x%2B2 can be factored:
1x%5E2%2B5x%2B2+=+%28x--0.43844718719117%29%2A%28x--4.56155281280883%29
Again, the answer is: -0.43844718719117, -4.56155281280883. Here's your graph:
graph%28+500%2C+500%2C+-10%2C+10%2C+-20%2C+20%2C+1%2Ax%5E2%2B5%2Ax%2B2+%29

-------------
a = x
To 2 decimal places:
a = -0.44
a = -4.56