Zero Factor Property
Solve the equation by the Zero-Factor Property.
x^2+8x-20=0
{-10, 2}
Solve the equation by the Square Root Property.
x^2=-144
{+-12i}
Solve the equation by Completing the Square.
x^2+3x-9=0
{(-3+-3sqrt5)/(2)}
Solve the equation using the Quadratic Formula.
x^2-8x+52=0
{4+-6i}
Evaluate the discriminant for the equation to determine the number of solutions.
x^2+5x+4=0
2 Rational Solutions
Solve the equation by the Zero-Factor Property.
2x^2-30x=-100
{5,10}
Solve the equation by the Square Root Property.
x^2=8
{+-2sqrt2}
Solve the equation by Completing the Square.
x^2+4x+68=0
{-2+-8i}
Solve the equation using the Quadratic Formula.
x^2+x+8=0
{(-1+-isqrt31)/(2)}
Evaluate the discriminant for the equation to determine the number of solutions.
x^2+10x+25=0
1 Rational Solution (a double solution)
Solve the equation by the Zero-Factor Property.
5x^2-2x-7=0
{7/5,-1}
Solve the equation by the Square Root Property.
(x+5)^2=64
{-13,3}
Solve the equation by Completing the Square.
x^2+8x=7
{-4+-sqrt23}
Solve the equation using the Quadratic Formula.
6x^2+12x+4=0
{(-3+-sqrt3)/(3)}
Evaluate the discriminant for the equation to determine the number of solutions.
x^2-8x-3=0
2 Irrational solutions
Solve the equation by the Zero-Factor Property.
2x^2=-9x-9
{-3/2,-3}
Solve the equation by the Square Root Property.
{(-7+-sqrt11)/(4)}
Solve the equation by Completing the Square.
x^2=9-4x
{-2+-sqrt13}
Solve the equation using the Quadratic Formula.
2x^2+10x=-2
{(-5+-sqrt21)/2}
Evaluate the discriminant for the equation to determine the number of solutions.
x^2-3x+6=0
2 Nonreal Complex Solutions
Solve the equation by the Zero-Factor Property.
28x^2+61x+21=0
{-7/4,-3/7}
Solve the equation by the Square Root Property.
(x+9)^2=-6
{-9+-isqrt6}
Solve the equation by Completing the Square.
x^2+5x-5=0
{(-5+-3sqrt5)/(2)}
Solve the equation using the Quadratic Formula.
5x^2=-12x-2
{(-6+-sqrt26)/(5)}
Evaluate the discriminant for the equation to determine the number of solutions.
4x^2-8x+4=0
1 Rational Solution (a double solution)