SOLUTION: Solve by Factorization 1. x2 - 13x + 30 = 0 2. 2x2 - 3x = 2 3. 3x2 - 7x - 6 = 0 4. 5x2 - 40 x = 0 5. 36x2 - 81 = 0 6. 4x2

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Question 188260: Solve by Factorization
1. x2 - 13x + 30 = 0
2. 2x2 - 3x = 2
3. 3x2 - 7x - 6 = 0
4. 5x2 - 40 x = 0
5. 36x2 - 81 = 0
6. 4x2 - 16 = 0
7. 3x2 = 4x + 7
8. x2 + 2x = 0
9. 5x2 - 40 x = 0
10. x2 + x = 0
Solve By Quadratic Formula
1. 2x2 - 6x + 3 = 0
2. 7x2 + 4x = 1
3. 2x2 + 6x + 3 = 0
4. x2 - 5x + 6 = 0
5. 3x2 = 4x + 5

Answer by Alan3354(69443) (Show Source):
You can put this solution on YOUR website!
Solve by Factorization
1. x2 - 13x + 30 = 0
This one is easy, you do it.
2. 2x2 - 3x = 2
2x^2 - 3x - 2 = 0
(2x + 1)*(x - 2) - 0
x = 2, x = -1/2
-------------------
3. 3x2 - 7x - 6 = 0
4. 5x2 - 40 x = 0
5. 36x2 - 81 = 0 Divide by 9
x^2 - 9 = 0
A difference of 2 squares is ALWAYS the product of the sum and difference of the roots.
sum = x + 3
difference = x - 3
(x+3)*(x-3)= 0
x = +3, x = -3
-----------------
6. 4x2 - 16 = 0 Divide by 4
7. 3x2 = 4x + 7
8. x2 + 2x = 0
9. 5x2 - 40 x = 0
10. x2 + x = 0
Solve By Quadratic Formula
1. 2x2 - 6x + 3 = 0
2. 7x2 + 4x = 1
3. 2x2 + 6x + 3 = 0
4. x2 - 5x + 6 = 0

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=1 is greater than zero. That means that there are two solutions: .

Quadratic expression can be factored:

Again, the answer is: 3, 2. Here's your graph:

5. 3x2 = 4x + 5
You can email me via the thank you note for assistance, or to check your work.

SOLUTION: Solve by Factorization 1. x2 - 13x + 30 = 0 2. 2x2 - 3x = 2 3. 3x2 - 7x - 6 = 0 4. 5x2 - 40 x = 0 5. 36x2 - 81 = 0 6. 4x2 - 16 = 0 7. 3x2 = 4x + 7 8. x2