What does the discriminat have to be to have 2 real roots
What is greater than 0
200
Factor
7 - (5/3)x- 2x²
What is 1/3(3-2x)(7+3x)
200
Solve for x
(x+3)(x+4)= 6
What is x= -1 and x= -6
200
Solve by completing the square
X² + 4x -3 = 0
What is x= -2 ± √7
200
Solve using quadratic formula
X² + 4x -1 = 0
What is -2±√5
200
Calculate the discriminant
3x² + 7x - 2 = 0
What is 73
300
9x² - 4y²
What is (3x + 2y)(3x - 2y)
300
When twice a number is subtracted from the square of the number, the result is 99. What is the number
11 and -9
300
Solve by completing the square
½ x ² + 6x - 1 = 0
What is x= 6 ± √34
300
Solve for x
0.5 x² - 1.25x = 3
What is x=4 and x = -(3/2)
400
Factor
(2x + 3)² - (x - 5)²
(3x -2)(x + 8)
400
A rectangular garden has dimensions 3 by 4. When both are increased by the same amount the area of the garden is 30. Determine the dimensions if the larger garden
5 by 6 = 30
400
Solve by completing the square
5x² - 20x + 8 = 0
What is x = 2 ±√2.4 or 2 ±√(12/5)
400
Determine value for k for which he equation has no real roots
Kx² - 9x - 3= 0
What is k< -(27/4)
500
Is (x + 1) a factor of
(x + 1)² + 4(x + 1) - 32
No
(x + 9)(x -3)
500
The height of a triangle is x cm
The base is x + 2
The hypotenuse is 10
What are the lengths of the base and height?
What is x= 6 so height is 6 and base is 8
500
When the square of a number is added to the number, the sum is 3. What is the number?
What is -0.5 ±√3.25 or -0.5 ±√(13/4)
500
Solve for x
½ x² - ¾ x -1 = 0
What is x = ¾± √(41)/4
500
Determine the value for k for which the equation has 2 real roots
5x² + 6x + k = 0