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.