Factoring
x^2-10x+21=0
x={3,7}
5x^2-11=234
x=+-7
x^2-18x+56=0
Factoring
x={4,14}
When can you use this method to solve a quadratic equation?
ALWAYS
9x^2-25=0
x={-5/3,5/3}
When is it best to use the square root method for solving quadratics?
When there is no 'b' term.
2x^2-16x=-30
Factoring
x={3,5}
-2x^2+3x=4x-15
x={-3,5/2}
3x^2-13x-30=0
x={-5/3,6}
x^2-1=39
x=+-2sqrt10
4x^2=64
Square Roots
x=+-4
x^2-9=4x
x={2+-sqrt13}
3x^2=81-x^2
x={-9/2,9/2}
4x^2-39=10
x=+-7/2
3x^2=3-42x
Quadratic Formula
x={-7+-5sqrt2}
-3x^2+8x-7=0
No Real Solution
2x^2=x+21
x={-3,7/2}
-2x^2-196=0
x=+-7isqrt2
2x^2-20x+89=-87
Quadratic Formula
No Real Solutions
2k^2+13=-12k
k=(-6+-sqrt10)/2