Simplifying
Simplify
sqrt(64)
+-8
Convert from rational exponent to radical.
8^(1/3)
root(3)(8)=2
What is the discriminant?
b^2-4ac
What is the quadratic formula?
x=(-b+- sqrt(b^2-4ac))/(2a)
Solve by completing the square.
y=x^2+8x+10
y=(x+4)^2-6
Simplify
sqrt(-63)
3isqrt(7)
Convert from rational exponent to radical.
(5x)^(6/5)
root(5)((5x)^6)
When the discriminant is positive, there are _____ solution(s). When the discriminant is 0, there are _____ solution(s). When the discriminant is negative, there are _____ solution(s).
positive - 2
zero - 1
negative - 0
Find the solutions to the quadratic equation using the quadratic formula.
2x^2+3x-5=0
x=1 and x=-5/2
Solve by factoring.
3x^2+2x-8
(3x-4)(x+2)
Simplify
sqrt(200)*sqrt(x^2)
10xsqrt(2)
Convert from radical to rational exponent.
root(4)((3x)^7)
(3x)^(7/4)
Find the discriminant of
x^2-6x+11=0
-8
Find the solutions to the quadratic equation using the quadratic formula.
x^2+7x+10=0
x=-2 and x=-5
Solve using square roots.
3x^2=81
x=3sqrt(3) and x=-3sqrt(3)
Simplify
(3sqrt(5))/(4sqrt(45)
1/4
Convert from radical to rational exponent.
-sqrt(m^2n^3)
-(m^2n^3)^(1/2)
Find the discriminant of
x^2-15=0
60
Find the solutions to the quadratic equation using the quadratic formula.
x^2-10x-5=0
x=5+sqrt(30) and x=5-sqrt(30)
Solve using any method. (factoring, completing the square, square roots, etc.)
x^2-6x-8=0
x=2 and x=4
Simplify
4n^(3/4)*2n^(5/4)
8n^2
What is the relationship between rational exponents and radicals?
Radicals can be written as rational exponents and vice versa. They are equivalent forms.
Find the discriminant of
3x^2+2x-4=0
52
Find the solutions to the quadratic equation using the quadratic formula.
x^2+x+5=0
no solutions
Solve using any method.
4x^2-32x+60=0
x=3 and x=5