Square Roots
x2 + 7 = 88
What is x = 9, x = -9?
x2 +4x = 12
What is x = 2, x = -6?
x^2+5x+4=0
x = -1 and x = -4
x^2+6x=16
x = -2 and x = 8
The product of two consecutive even integers is 168. Find the integers.
(12 and 14) or (-12 and -14)
-5x2 = -500
What is x = 10, x = -10?
x2 +8x = 65
What is x = 5, x = -13?
x^2+6x-40=0
x = -10 and x = 4
x^2+4=0
No Solution
The sides of a square are increased by 3m. This causes the area to be 64 square meters. What was the original side length?
5 meters
8x2 - 7 = 193
What is x = 5, x = -5
x2 - 12x + 23 = 0
What is
x = 6 +- sqrt(13)
x^2-3x+2=0
x = 1 and x = 2
x^2-40=0
x = +- 2sqrt10
The length and width of a rectangular garden were 4m and 5m. Each were increased by the same amount. The new area of the garden is 56 square meters. Find the new dimensions. (Hint: let x by the amount of increase).
7m and 8m
- 4x2 = -300
What is
x = +- 5sqrt(3)
x2 - 10x + 26 = 8
What is x = 5 +- sqrt(7)
x^2+9x-36=0
x = -12 and x = 3
x^2+8x-55=10
x = -13 and x = 5
The width of a rectangle is 2 m less than the length. The area is 48 square meters . Find the dimensions.
6 m by 8 m
4x2 + 1 = 401
What is x = 10, x = -10?
x2 + 2x = -20
What is no solution?
x^2-x-110=0
x = -10 and x = 11
x^2+5x+4=5x+4
x = 0
The base of a triangle is 4 cm shorter than the height. The area is 30 cm2 . Find the base and the height of the triangle.
b = 6 cm and h = 10 cm