Solve using Factoring
Use the Zero Product Property to solve the following quadratic equation.
(x - 7)(x + 2) = 0
x = 7 x = -2
Two times a number plus the square of that number is equal to 35. Find the number (algebraically).
x = -b +- sqrt(b2 - 4ac) /(2a)
Solve the following quadratic equation by factoring. x2 = -3x-2
x = -2 x = -1
The length of a rectangle is 2 ft longer than the width. The area of the rectangle is 15 ft2. What is the width of the rectangle?
The width of the rectangle is 3ft.
Solve the following quadratic equation by using the quadratic formula:
x2 + 5 = -6x
x = -1 or x = -5
Solve the following quadratic equation by factoring. x2 - 6x = -5
x = 5 x = 1
Six less than the square of a number is equal to 5 times the number. What is the negative number?
The negative solution is -1.
Solve the following quadratic equation by using the quadratic formula:
-x2 + 9x - 20 = 0
x = 5 or x = 4
Solve the following quadratic equation by factoring. x2 - 6x - 27 = 0
The length of a rectangle is three more than twice the width. The area of the rectangle is 65 cm2. What are the dimensions of the rectangle?
The dimensions of the rectangle are 5cm by 13cm.
Solve the following quadratic equation by using the quadratic formula:
2x2 = -9x - 4
x = -1/2 or x = -4
Solve the following quadratic equation by factoring. 2x2 - 3 = 5x
x = -1/2 x = 3
A rocket is launched from a roof that is 9,888 ft about the ground with an initial velocity of 48 ft per second. After how many seconds will the rocket land?
The formula used to set up this equation is
h=-16t2+v0t+h0
where h = height, t=time, v0=initial velocity and h0=initial height
The rocket will land after 6 seconds.
Solve the following quadratic equation by using the quadratic formula:
4x2 - 17x - 15 = 0
x = 5 or x = -3/4