Question

Which one is a radical equation

Answer 1

All but the first and 3rd ones.
A radical equation is an equation where the base variable is a root. In this case, only these are radical equations:


x^2 = 16
7sqrt(x) = 14

Answer 2

Among the given options the expression which is a radical equation is:

`7√(x)=14`

Explanation:

An equation in terms of a variable is said to be a radical equation if the variable is present inside a radical sign.

a)

`x+√(5)=12`

This is not a radical equation since the variable x is not under the radical sign.

Hence, option: a is incorrect.

b)

`x^2=16`

This is a quadratic equation and not a radical equation.

Hence, option: b is incorrect.

c)

`3+x√(7)=13`

From the equation we see that a constant is present in a radical sign and not the variable.

Hence, option: c is incorrect.

d)

`7√(x)=14`

This is a radical equation as the variable is present in the radical sign.