Unit 11 - Solving Quadratics - All Methods

Factoring

100

x^2-13x+40=0

x=5, 8

200

9x^2-25=0

x=-5/3,5/3

300

3x^2-13x-25=5

x=-5/3,6

400

3x^2=81-x^2

x={-9/2,9/2}

500

2x^2=x+21

x={-3,7/2}

Square Roots

100

5x^2-11=234

x=+-7

200

x^2-1=39

x=+-sqrt40

300

(x-4)²=81

x = -5, 13

400

4x^2-39=10

x=+-7/2

500

5(x+2)²-15=0

x=-2+-sqrt3

Complete the Square

100

x^2-18x+56=0

x=4,14

200

2x^2-16x=-30

x=3,5

300

x²+22x-1=24

x=-11+-sqrt146

400

2x^2-20x+89=-87

No Real Solution / 2 Complex Solutions

500

3x^2+42x-3=0

x={-7+-5sqrt2}

Quadratic Formula

100

x²+10x+24=0

x=-4,-6

200

16x^2-40x+20=-5

x=5/4

300

-2x^2+3x=4x-15

x={-3,5/2}

400

x^2-9=4x

x=(4+-sqrt52)/2

500

3x^2+x=-2x-7

2 complex solutions, no real solution