Question

Which of the following is a radical equation? x + StartRoot 5 EndRoot = 12 x squared = 16 3 + x StartRoot 7 EndRoot = 13 7 StartRoot x EndRoot = 14

Answer 1

Answer:

The equation $7\,\sqrt{x} =14$ is a radical equation.

Step-by-step explanation:

If the equations given are (as I can read them from your typing):

a) $x+\sqrt{5} =12$

b) $x^2=16$

c) $3+x\,\sqrt{7} =13$

d) $7\,\sqrt{x} =14$

The only radical equation is the last one : $7\,\sqrt{x} =14$, because it is the only one where the unknown appears inside the root. The name "radical equations" is associated with the fact that the unknown is contained inside the root and therefore the process involved in solving for the unknown will need to include the elimination of the root via algebraic methods to free the unknown.

Notice that the options a) and c) have roots, but what appears inside them are numbers (5 and 7 respectively), and not an unknown like "x". Equation b) doesn't contain a root, and wouldn't classify as a radical equation.

Answer 2

Answer:

D.  7 StartRoot x EndRoot = 14

Step-by-step explanation:

Which of the following is a radical equation?

x + StartRoot 5 EndRoot = 12

x squared = 16

3 + x StartRoot 7 EndRoot = 13

7 StartRoot x EndRoot = 14