Quadratic
Use the quadratic formula to solve the equation.
m2 + 4m - 12 = 0
-6, 2
Add the proper constant to the binomial so that the resulting trinomial is a perfect square. Then factor the trinomial.
n2 - 2n + ______
1
(n - 1)2
Perform the indicated operation.
5/x + 2/(7x2)
(35x + 2)/7x2
Fill in each blank so that the resulting statement is true.
Consider the equation sqrt(3x + 5) = x - 6.
Squaring the left side and simplifying results in _____.
Squaring the right side and simplifying results in _____.
3x + 5
x2 -12x + 36
Use the square root property to solve the equation. The equation has real number solutions.
x2 = 63
3*sqrt(7)
-3*sqrt(7)
For the quadratic equation, choose the correct substitution for a, b, and c in the standard form ax2 + bx + c = 0.
x2 = -6
a = 1
b = 0
c = 6
Solve the equation by completing the square. The equation has real number solutions.
x2 + 10x + 18
-5 + sqrt(7)
-5 - sqrt(7)
Multiply both sides of the equation
1/x - 4/5x = 6 by 5x.
The result is ______.
5 - 4 = 30x
Solve.
sqrt(5x + 6) + 1 = 0
The solution is empty set(no solution).
Use the square root property to solve the equation. The equation has real number solutions.
(x - 1)2 = 45
1 + 3*sqrt(5)
1 - 3*sqrt(5)
The quadratic formula is _________.
x = (-b +/- sqrt(b2 - 4ac))/2a
Find the domain of the rational function.
s(t) = (t2 + 4)/4t
The domain is {t is a real number and t does not equal 0.
Perform the indicated operation.
(3/(x + 3)) + (14/(7x +21))
5/(x + 3)
Solve.
sqrt(3x) = 6
12
Use the square root property to solve the equation. The equation has real number solutions.
(3x + 5)2 = 32
(-5 + 4*sqrt(2))/3
(-5 - 4*sqrt(2))/3
Use the quadratic formula to solve the equation.
x2 + x - 1 = 0
(-1 - sqrt(5))/2
(-1 + sqrt(5))/2
Solve the equation.
(x - 1)(x - 8) = 0
1, 8
Solve the equation and check the solution.
((x-7) /6) +( (x-5)/5) = 2/5
7
Solve.
sqrt(3x) = 15
75
Use the square root property to solve the equation.
3x2 + 135 = 0
3i*sqrt(5)
-3i*sqrt(5)
Use the quadratic formula to solve the equation.
-7 = 4x2 - 3x
(3 + i*sqrt(103))/8
(3 - i*sqrt(103))/8
Solve.
sqrt(13 - x) = x - 1
4
Perform the indicated operation.
((-x + 7)/x) - ((x - 4)/7x)
(53 - 8x)/7x
Solve.
sqrt(2x + 35) = x
7, -5
Solve
sqrt(7x-6) - 6 = 0
6