JeopardyLabs

Determine the x intercepts algebraically

200

2x^{2}-5x-12=0

(-3/2,4)

300

3x-y=1

3x+2y=16

(2,5)

400

y=x^{2}-2x-3

y=x^{2}-2x-3

0=x^{2}-2x-3

0= (x+1)(x-3)

x=-1 x=3

Writing linear system sin slope intercept for three

100

x+2y=7

3x-2y=-11

x+2y=7

3x-2y=-11

4x=4x

4x/4=-4/4

x=-1

-1+2y=7+1

2y=8

Factoring quadratics

200

(2x-1)(4x-3)=0

2x-1=0; 4x-3=0

2x-1=0  4x-3=0

2x=1 4x=3

x = 1/2

x = 3/4