Understanding Radical Equations

The video tutorial explains how to solve a radical equation for x. It begins by expressing the radical as a rational exponent. Then, it identifies that both 9 and 243 can be expressed as powers of three. By equating the exponents, since the bases are the same, the equation is simplified to solve for x, resulting in the solution x = 2/5.

What is the first step in solving the radical equation for x?

• Convert the radical to a rational exponent

• Express 243 as a power of 9

• Multiply both sides by x

• Divide both sides by 5

How can the number 9 be expressed as a power of 3?

• 3 to the power of 5

• 3 to the power of 1

• 3 to the power of 3

• 3 to the power of 2

What is the exponent of 243 when expressed as a power of 3?

• 4

• 3

• 5

• 6

What operation is performed to clear x from the denominator?

• Subtract x from both sides

• Multiply both sides by x

• Divide both sides by x

• Add x to both sides

What is the final solution for x in the equation?

• x equals 1/5

• x equals 5/2

• x equals 2/5

• x equals 3/5