SOLUTION: Solve the following quadratic equations by factoring. x2 + x - 20 = 0 x = 5 x = 4 x = 4 or x = -5 x = -4 or x = 5 4. 2x2 � 15 = �7x

Question 460074: Solve the following quadratic equations by factoring.
x2 + x - 20 = 0
x = 5
x = 4
x = 4 or x = -5
x = -4 or x = 5
4. 2x2 � 15 = �7x
x = 1.5 or x = -3
x = 1.5 or x = -5
x = 3 or x = -5
x = 1.5 or x = 5

5. 3x2 � 5x = 2
x = 1/3 or x = 3
x = 1/3 or x = 2
x = -1/3 or x = 2
x = - 1/3 or x = 3

6. 3x2 + 3 = 10x
x = 1/3 or x = 3
x = 1/3 or x = 2
x = -1/3 or x = 2
x = - 1/3 or x = 3

7. Solve the following quadratic equations using the quadratic formula.
x2 + 7x + 9 = 0

8. x2 + 6x = 0
x = 1 or x = 6
x = 0 or x = 6
x = 0 or x = -6

9. 15x2 � 7x � 2 = 0
x = 2/3 or x = -1/5
x = -2/3 or x = 1/5
x = 3/2 or x = -5
x = -3/2 or x = 5

10. x2 - 9x + 5 = 0

Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
9. 15x2 � 7x � 2 = 0
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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=169 is greater than zero. That means that there are two solutions: .

Quadratic expression can be factored:

Again, the answer is: 0.666666666666667, -0.2. Here's your graph:

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Ignore the incorrect factoring by the solver.
x = -1/5
x = 2/3
Do the others the same way.

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