Question 426642: Solve each equation using the quadratic formula.
1.x^2+10=-25
2.2x^2-5=-3x
Answer by Alan3354(69443)   (Show Source):
You can put this solution on YOUR website! Solve each equation using the quadratic formula.
1.x^2+10=-25
| Solved by pluggable solver: SOLVE quadratic equation (work shown, graph etc) |
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 :  .
The discriminant -140 is less than zero. That means that there are no solutions among real numbers.
If you are a student of advanced school algebra and are aware about imaginary numbers, read on.
In the field of imaginary numbers, the square root of -140 is + or -  .
The solution is  , or
Here's your graph:
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2.2x^2-5=-3x
| Solved by pluggable solver: SOLVE quadratic equation (work shown, graph etc) |
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=49 is greater than zero. That means that there are two solutions:  .
Quadratic expression  can be factored:
Again, the answer is: 1, -2.5.
Here's your graph:
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