Factoring
Solve the following quadratic equation by using square roots: x2 = 4
What is the intermediate step in the form (x+a)2=b for the following quadratic equation by completing the square:
x2 + 6x = -8
(x + 3)2 = 1
Identify a, b, and c.
2x2 + 8x + 5 = 0
a = 2, b = 8, c= 5
When there's no 'b' term.
Square rooting, completing the square, factoring, or quadratic formula?
Solve by taking The Square Root
Solve the following quadratic equation by factoring. x2+3x+2 = 0
Solve the following quadratic equation by using square roots: x2 = 121
What is the intermediate step in the form (x+a)2=b for the following quadratic equation by completing the square:
x2 - 6x = -5
(x - 3)2 = 4
Identify a, b, and c.
x2 + 9x + 8 = 14
a = 1, b = 9, c = -6
When it is factorable.
Square rooting, completing the square, factoring, or quadratic formula?
Solve by Factoring
Solve the following quadratic equation by factoring. x2 - 6x + 5 = 0
Solve the following quadratic equation by using square roots: 4x2 = 400
What is the intermediate step in the form (x+a)2=b for the following quadratic equation by completing the square:
x2 + 2x = 24
(x + 1)2 = 25
Set up the quadratic formula given: a=1, b=6, c=3
x=(-b +- sqrt(b^2-4ac))/(2a)
x=(-6 +- sqrt(6^2-4(1)(3)))/(2(1))
Not factorable, a=1, and "b" is even.
Square rooting, completing the square, factoring, or quadratic formula?
Solve by Completing The Square
Solve the following quadratic equation by factoring. x2 - 6x - 27 = 0
Solve the following quadratic equation by using square roots: x2 -9 = -8
What is the intermediate step in the form (x+a)2=b for the following quadratic equation by completing the square:
x2 + 10x +16 = 0
(x + 5)2 = 9
Set up the quadratic formula given: 3x2+2x-5=0
x=(-b +- sqrt(b^2-4ac))/(2a)
x=(-2 +- sqrt(2^2-4(3)(-5)))/(2(-5))
What method do we use when factoring a trinomial where a >1?
What are the steps?
Slip and Slide
1. Find GCF
2. Multiply AC
3. Factor
4. Divide by original leading term
5. Simplify the fractions
6. Multiply by the denominator
Solve the following quadratic equation by factoring. 2x2 - 5x - 3 = 0
Solve the following quadratic equation by using square roots: 5x2 + 3 = 128
Solve the following quadratic equation by completing the square: x2 - 4x = 10
(x - 2)2 = 14
Solve the following quadratic equation by using the quadratic formula: 4x2 - 17x - 15 = 0
x = 5 x = -3/4
The function h represents the height of an object t seconds after it is launched into the air. The function is defined by
h(t)= -5t^2 + 20t + 18
Height is measured in meters.
Write and solve an equation to find when the object hits a height of 33 meters.
t= 1 and t = 3