Solving Radical Equations
The first step in solving a radical equation.
What is isolate the radical to one side of the equation?
The domain of all cube root functions.
What is all real numbers?
What is the index and radicand?
This type of transformation was discussed in Module 6.
What is reflection or dilation or horizontal shift or vertical shift?
A cube function that has been shifted 6 units to the left and 4 units up will contain this point on the graph.
What is (-6, 4)?
The index of a cube root function.
What is 3?
The range of all cube root functions.
What is all real numbers?
The cube root of 64 is equal to this.
What is 4?
The index of a square root function is this.
What is 2?
What is x = 17?
The resulting number that does not satisfy the original equation.
What is an extraneous solution?
The graph of the parent function of the square root function "begins" at this point.
What is the origin or (0, 0)?
The square root of 121x2 is equal to this.
What is 11x?
The parent function of the square root function is this.
What is sqrt(x)?
Solve cuberoot (x-7)=4
What is x = 71?
The inverse of a square root.
What is the power of 2?
A transformation of four units left.
What is a horizontal shift?
The four root of 256x8y16 is equal to this.
What is 4x2y4?
The square root function that is shifted 5 units to the right has an equation equal to this.
What is sqrt(x-5)?
Solve sqrt(3x-5)+2=6
What is x = 7?
The exponential power of a cube root function.
What is one-third?
Reflection over the x-axis occurs when the radical function is multiplied by this type of value.
What is a negative?
The square root of 4 is equal to the cube root of this number.
What is 8?
Solve cuberoot(2x+7)=5
What is x = 59?