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About AtoZmath.com
Collection of online calculators which will help you to solve mathematical problems with their step by step solution at just a mouse click.
All calculators are free!
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Quadratic Equation calculator
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Roots by factorization calculator
Roots by method of factorization
Enter Quadratic Equation
Example
Help
Roots by Method Of Factorization
1. Find the roots of Quadratic Equation x^2+8x+12=0 by the method of factorization
` x^2+8x+12=0`
` => x^2+8x+12 = 0`
` => (x^2+8x+12) = 0`
` => (x^2+2x+6x+12) = 0`
` => x(x+2)+6(x+2) = 0`
` => (x+6)(x+2) = 0`
` => (x+6) = 0" or "(x+2) = 0`
` => x = 6" or "x = 2`
2. Find the roots of Quadratic Equation X^225=0 by the method of factorization
` X^225=0`
` => X^225 = 0`
` => (X^225) = 0`
` => (X5)(X+5) = 0`
` => (X5) = 0" or "(X+5) = 0`
` => X = 5" or "X = 5`
3. Find the roots of Quadratic Equation 9X^224X+16=0 by the method of factorization
` 9X^224X+16=0`
` => 9X^224X+16 = 0`
` => (9X^224X+16) = 0`
` => (3X4)(3X4) = 0`
` => (3X4) = 0" or "(3X4) = 0`
` => 3X = 4" or "3X = 4`
` => X = 4/3" or "X = 4/3`
4. Find the roots of Quadratic Equation 25X^230X+9=0 by the method of factorization
` 25X^230X+9=0`
` => 25X^230X+9 = 0`
` => (25X^230X+9) = 0`
` => (5X3)(5X3) = 0`
` => (5X3) = 0" or "(5X3) = 0`
` => 5X = 3" or "5X = 3`
` => X = 3/5" or "X = 3/5`
Roots by Method Of Factorization
Here X
^{2}
= X^2 = X2 and 2X = 2*X
1. 25X
^{2}
 30X + 9 = 0
2. 2X
^{2}
+ 5X  10 = 0
3. X
^{2}
+ 10X  56 = 0
4. 4X
^{2}
+ 11X + 10 = 0
5. X
^{2}
 2X = 8
6. X
^{2}
 25 = 0
7. X
^{2}
+ 5X + 3 = 0
8. 9X
^{2}
 24X + 16 = 0
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