SOLUTION: Solve each equation using the quadratic formula. 1.x^2+10=-25 2.2x^2-5=-3x

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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:


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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