A2H 4/14 Solving Quadratic Equations
The table values for quadratic function h are shown. If 5 is a solution to h(x) = 0, What is the other solution.
-9
What are solutions to the (x + 4)² = 25?
-9 and 1
A golf ball with an initial velocity of 27 feet per second can be modeled using the equation h = -6t² + 27t, where t is the time in seconds and h is the height. If the height of the golf ball is 27 feet, how many seconds has it been in the air?
3
The total numbers of parking spaces in a garage can be modeled using the function p(f) =15f² +10f, where f represents the number of floors in the garage. If there are a total of 1040 parking spaces, how many floors are in the garage?
8
What is the positive solution to quadratic equation?
9
(2a - 5)(2a + 5)
Factor Completely
3x(x - 4) = 0
Factor Completely 3x² - 12x = 0
(x - 4)(x + 4)=0
Factor x² - 16 = 0
x=2, x=3
Find the solutions to the quadratic equation by FACTORING. 5x-6=x²
no real solutions
Find the solutions to the quadratic equation by graphing. -x²=8x+20
x=2
Find the solutions to the quadratic equation by graphing. x²-4x+4=0
no real solutions
For what values of x does y=0?
x=-1, x=1
For what values of x does y=0?
x=-2, x=2
For what values of x does y=0?
x=-3, x=1
For what values of x does y=0?
x=-4, x=0
For what values of x does y=0?
x=0
For what values of x does y=0?
x=0, x=4
For what values of x does y=0?
x=1
For what values of x does y=0?
x = -3/2, x = -1
Solve 2x² + 5x + 3 = 0
x = -4, x = 4
Solve x² - 16 = 0
x = 0, x = 4
Solve x² - 4x = 0
Solve 2x²+x+5=0 using the Quadratic Formula.
x=(-1±i√39) / 4
Solve 4x²+x+5=0 using the Quadratic Formula.
x=(-1±i√79) / 8
Solve 4x²+x+5=0 using the Quadratic Formula.
x=(-1±√-79) / 8
Solve 6x²+x-3=0 using the Quadratic Formula.
x=(-1±√73) / 12
Solve 2x²+6x-5=0 using the Quadratic Formula.
x=(-3±√19) / 2
Solve 2x²-3x+2=0 using the Quadratic Formula.
x=(3±i√7) / 4
Solve x²-3x-5=0 using the Quadratic Formula.
x=(3±√29) / 2
Solve 2x²-7x-1=0 using the Quadratic Formula.
x=(7±√57) / 4
Solve x²+2x+1=0
x=-1
Solve 2x²+8x+6=0
x=-1, x=-3
Solve x²+6x=-5
x=-1, x=-5
Solve 2x²+2x+7x+7=0
x=-1, x=-7/2
Solve x²-4x-5=0
x=-1, x=5
Solve x²-6x-7=0
x=-1, x=7
Solve x²-4=0
x=-2, x=2
Solve x²-x=6
x=-2. x=3
Solve 3x²-4x-4=0
x=-2/3, x=2
Solve x²+4x+2=0 using the Quadratic Formula.
x=-2±√2
Solve x²+6x=-9
x=-3
Solve x²+x=6
x=-3. x=2
Solve 3x²+12x-5x-20=0
x=-4, x=5/3
Solve 3x²+16x+5=0
x=-5, x=-1/3
Solve x²+8x+7=0
x=-7, x=-1
Solve x²-2x+1=0
x=1
Solve 2x²+3x-5=0 by Factoring or the quadratic formula.
x=1 or x=-2.5
Solve 2x²+3x-5=0 using the Quadratic Formula.
x=1 or x=-2.5
Solve 2x²+x-3=0
x=1, x=-3/2
Solve x²+4x=5
x=1, x=-5
Solve x²+6x-7=0
x=1, x=-7
Solve x²-5x=-6
x=2, x=3
Solve x²=6x-9
x=3
Solve x²-8x+16=0
x=4
Solve 3x²-12x+5x-20=0
x=4, x=-5/3
Solve 3x²-12x-5x+20=0
x=4, x=5/3
Solve x²-10x=-25
x=5
Solve 4x²-5=0 by using square roots or the Quadratic Formula.
x=±√5 / 2
The table values for quadratic function f are shown. If 9 is a solution to f(x) = 0, What is the other solution?
-7
What is one possible root of the quadratic function shown on the coordinate grid?
-4
What are the roots of the quadratic function graphed on the coordinate grid?
-4 and 8
What are the possible solutions to the (x +5)² = 49?
-12 and 2
What are the roots of the function x² - 169?
-13 and 13
What are the zeros of the function 2x² - 8x - 42?
-3 and 7
The total numbers of containers entering the Port of Houston can be modeled by the function t(s) = 23s² - 13s, where s represents the number of cargo ships. If there are a total of 2170 containers, how many cargo ships entered the port?
10
(3x + 2)(x - 1)
What are the factors of f(x) = 3x²-x-2 ?
(x - 9)(x - 4)
What are the factors of f(x) = x² - 13x + 36 ?
x = -2/3, x = 1
What are the x-intercepts of f(x) = 3x²-x-2 ?
x = 9, x = 4
What are the zeros of f(x) = x² - 13x + 36 ?
f(x)= x² + 7x + 6
Write the equation of the quadratic in standard form whose zeros are -6 and -1.
f(x)=(x+2)(x-4)
Write the equation of the quadratic whose x-intercepts are (-2,0) and (4,0).
