What reasoning and explanations can be used when solving radical equations?

The common reasoning that can be use while solving a radical equation are shown below.

Step-by-step explanation:

Radical equations are the equations which contains radical expressions like , etc.

If a radical expression is defined as , then the sign is the radical and x is radicand.

The common reasoning that can be use while solving a radical equation are:

1. Isolate or separate the radical expression.

2. To remove radical square both sides of the equation.

3. After that solve the equation to find the unknown variable

4. Check the answer for solution or extraneous solution.

For example:

subtract 1 from both sides.

Taking square on both sides.

On simplification we get

Using zero product property,

Check the equation for x=0,

Since LHS is not equal to RHS, therefore 0 is an extraneous solution.

Check the equation for x=3,

Since LHS is equal to RHS, therefore 3 is an solution.

$53.50

step-by-step explanation:

you have to subtract the amount of money chuck earned ($72.50) by the cost of the gas for the mower ($11.25) and the new string for the trimmer he bought ($7.75).

72.50-11.25=61.25

and then subtract $61.25 by the second thing he bought (the new string for the trimmer)

61.25-7.75=53.5

so in total it's $53.50 (53 dollars and 50 cents)