College Algebra
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Perform completing the square to solve the following equation: 3x2 - 8x + 4 = 0
Identify the following function's graph by first solving for its x-intercepts and then matching it with the given graphs.
y = (x -3)2 -9
Solve the following equation by using your preferred method: (3x + 1)(x + 2) = 4
Solve the following equation by using your preferred method: x2 - 4x = 2
Solve the following equation by using your preferred method: 5x2 = 75
Solve the following equation by using your preferred method: 8x2 - 3 = 10x
Solve the following equation by using your preferred method: 4x2 - 2x = 6
For the given solution set {2, -1}, write a quadratic equation in a general form.
Use any method to solve the given equation.√5x2 -2x -3√5 = 0
Use any method to solve the given equation.1/(x2 -8x +15) = 1/(x -5) - 5/(x2 -25)
When the difference between a number and 12 is doubled and added to the square of that number, it results in zero. What is this number?
Enlist all values of x that will make the given expression undefined. 5/(x2 -7x +6)
Consider the following equations and solve for all values of x that will satisfy them. z1 = x, z2 = -6/x and z1 + z2 = -1
Consider the following equations and solve for all values of x that will satisfy them. t1 = x - 3, t2 = x -1, t1t2 +1 = 0
Consider the following equations and solve for all values of x that will satisfy them. y = 4x2 - 4x and y = -1
For the following equation, calculate the discriminant, as well as the number and type of solutions
4x2 - 28x + 49 = 0
For the following equation, calculate the discriminant, as well as the number and type of solutions.
x2 - 11x - 12 = 0
By using the quadratic formula, solve the following equation.
x2 - 16x + 73 = 0
2x2 - x - 11 = 0
x2 + 11x + 1 = 0
x2 + 20x + 96 = 0
By completing the square, solve the following equation.
4x2 - 23x + 15 = 0
Use any method to solve the given equation. x/(x -4) +4/(x +4) = -23/(x2 -16)
Use any method to solve the given equation. 1/2x + 1/(x -4) = 1/2
x2 - 11x + 1 = 0
x2 - 16x + 63 = 0
x2 - 2x - 23 = 0
x2 - 20x = 7
x2 + 12x = 13
For the following equation, complete the square:
x2 - (8/7)x
For the following equation, complete the square to make a perfect square trinomial and factor.
z2 - 5z
Use any method to solve the given equation. 5x2 -13x = 0
Use any method to solve the given equation. x2 = 6x -11
Use any method to solve the given equation. 9x2 -30x +50 = 0
Use any method to solve the given equation. x2 +2x +5 = 0
Use any method to solve the given equation. 5x2 -245 = 0
Use any method to solve the given equation. 49 -28x +4x2 = 0
Use any method to solve the given equation. 7x2 -14x +7 =0
Use any method to solve the given equation. (2x -1)2 = 9
p2 + 23p
m2 - 18m
Solve for the constant that must be added to the given binomial in order to make it a perfect square trinomial. Show the perfect square trinomial, and factor it.
x2 + 24x
By applying the square root property, solve:
(7x + 1)2 = 49
(h + 7)2 = - 169
11(g + 5)2 = 121
(a + 7)2 = 64
6k2 + 63 = 9
5x2 - 4 = 3121
6x2 = 150
Solve by factoring:
32x + 41 = (4x - 3)2
Solve by factoring
x2 - 6x + 8 = 2x + 17
7a(a - 4) = 4a2 - 21a
4y2 - 36y = 0
2j2 - 13j = 45
15c2 + 32c - 7 = 0
a2 = 2a + 168
v2 + 10v - 39 = 0
Completely factor:
h2 - 34h + 289
Find the product: (2 - 7x)(- 5 + 4x)
Solve the following quadratic equation by using any of your preferred method: (x+4)2-64=0
Solve the following quadratic equation by using any of your preferred method: 2x2-5x+1=0
Consider the following quadratic equation. Identify the number and type of its solutions without solving for x: 4x2=5+6x
Solve the following quadratic equation by the use of quadratic formula: 4x2=-1+7x
Solve the following equation by completing the square method: 2x2+8x+7=0
Identify the term to be added on the given binomial that will result to a perfect square trinomial. After identifying the term, factor the perfect square trinomial: x2-9x
Find the value of x for the following equation by the use of square root property:
Solve the following quadratic equation by factoring: 8x2+2x=15