Solving Quadratic Equations: Factoring, Complete the Square, Quad Form, Discriminant
-4x(x+3)
Factor -4x²-12x
{-5, ½}
Solve by factoring. 2x²+9x=5
{3, -1}
Solve using the Quadratic Formula. 6m2 - 12m - 9 = 9
(3x+1)(x+10)
Factor 3x²+31x+10
(3x-5)(3x+5)
Factor 9x²-25
-3(2x+5)(3x-4)
Factor completely -18x²-21x+60
3(3x-4)(3x-1)
Factor completely 27x²-45x+12
(x-7)(x+4)
Factor x²-3x-28
Disc=-7 Two imaginary solutions
Find the discriminant of 2x²-3x+2=0, and describe the number and type of solutions.
Disc=80 Two real solutions
Find the discriminant of 4x²-5=0, and describe the number and type of solutions.
Disc=0 One real solution
Find the discriminant of x²+2x+1=0, and describe the number and type of solutions.
Disc=29 Two real solutions
Find the discriminant of x²-3x-5=0, and describe the number and type of solutions.
−5/4, −1
Solve (4k + 5)(k + 1) = 0
−1, −2
Solve (a + 1)(a + 2) = 0
x=(-3±√19) / 2
Solve 2x²+6x-5=0 using the Quadratic Formula.
x= (-1±i√79) / 8
Solve 4x²+x+5=0 using the Quadratic Formula.
x=±√5 / 2
Solve 4x²-5=0 using the Quadratic Formula.
1/3, −3/5
Solve by completing the square. 15a^2 − 3a = 3 − 7a
2/3, 6
Solve by completing the square. 3r^2 − 16r − 7 = 5
{4, -2}
Solve by completing the square. 6n2 - 12n - 50 = -2
−2/7, 0
Solve by completing the square. 7x^2 + 2x = 0
{20, -2}
Solve by completing the square. b2 - 18b - 32 = 8
{7, -13}
Solve by completing the square. m2 + 6m - 86 = 5
{-8, 6}
Solve by factoring. x²+2x-48=0
{-8, 8}
Solve using square roots. x²-64=0
{2, -4}
Solve using the Quadratic Formula. 7x2 + 14x - 54 = 2
{-7, -13}
Solve using the Quadratic Formula. a2 + 20a + 88 = -3
x= (3±√29) / 2
Solve x²-3x-5=0 using the Quadratic Formula.