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

Algebra.Com
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.
RELATED QUESTIONS

1b. 8xy / (24x /4) 1d. (3a - 6 / 6a +12) X (3a2 - 12 / a2 - 5a +6) 1c. (x - 7 /... (answered by solver91311)
1. Determine whether the following equations have a solution or not? Justify your answer. (answered by Alan3354)
Complete the square. 1. x2 + 60x + 2. x2 – 7x + Solve each... (answered by solver91311)
Determine the number of solutions and classify the type of solutions for each of the... (answered by solver91311)
solve by factoring. 1) x2-5x+6=0 2) 2x2-9x-5=0 3)... (answered by Abbey,guapa)
1. Determine the number of solutions and classify the type of solutions for each of the... (answered by jim_thompson5910)
solve the questions give below by factorization (1)3x2+x=1 (2)4x2+9=12x... (answered by longjonsilver,kiru_khandelwal)
1. x2 + 7x + 12= 2. x2 + 13x + 36= 3. m2 + 8mn + 15n2= 4. a2 + 5ab + 6b2= 5. x2... (answered by jim_thompson5910,Fombitz)