SOLUTION: i need help with radical t+12-t=0 and 5 radical x + 1 =3

Question 151655: i need help with radical t+12-t=0 and 5 radical x + 1 =3
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Start with the given equation.

Add to both sides.

Square both sides.

Subtract from both sides.

Notice we have a quadratic equation in the form of where , , and

Let's use the quadratic formula to solve for t

Start with the quadratic formula

Plug in , , and

Square to get .

Multiply to get

Rewrite as

Add to to get

Multiply and to get .

Take the square root of to get .

or Break up the expression.

or Combine like terms.

or Simplify.

So the possible solutions are or

However, we must first check them

Check:

Let's check the possible solution

Start with the given equation.

Plug in .

Evaluate and simplify the left side.

Since the equation is not true, this means that is not a solution.

Let's check the possible solution

Start with the given equation.

Plug in .

Evaluate and simplify the left side.

Since the equation is true, this means that is a solution.

========================================================

Answer:

So the solution is

Start with the given equation.

Divide both sides by 5.

Square both sides.

Subtract 1 from both sides.

Combine the fractions.

========================================================

Answer:

So the solution is

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