problems
word problems
how many solutions
find vertex
100

x2 = 4

x = 2 x = -2

100

2x=√x+32x=x+3

x=1

100

The sum of a number and its square is 30. Find the numbers.

-6 or 5


100

x^2 - 2x + 5

0 solutions

100

f(x)=-x2+8x-15

(4,1)

200

4x2 = 400

x = 10 x = -10

200

√33−2x=x+133−2x=x+1

x=4

200

A rectangular garden has an area of 14 m2 and a perimeter of 18 meters. Find the dimensions of the rectangular garden. The figure below shows how to set up the problem.

w = 7 and w  = 2

200

The number of times 6x^2 - 2x -3 crosses the x-axis

two times

200

f(x)=5x2+2x-2

(-1/5,-11/5)

300

x^2-361=0

19

300

1+√1−x=√2x+41+1−x=2x+4

1+√1−x=√2x+4

300

The length of a photograph is four cm longer than its width. The area is 45. Find the length and width of the photograph.

width of 5 and a length of 9?

300

The number of roots in -x^2 - 5 = 6x

1 root

300

f(x)=x2-2x

(1,-1)

400

5x2 + 3 = 128

x = 5 x = -5


400

7=√39+3x−x

x=−1

400

how many solutions does 4x^2 = 8x - 4 have

1

400

 y = -3x2 -6x + 2

(-1,5)

500

x^2-144

12

500

x=1+√2x−2

x=1 or x=3

500

how many solutions does  9x^2 + 6x + 6 = 5 have

1