solving radical equations
DESCRIPTION
Solving Radical Equations. A radical equation. is an equation. that contains a radical. Did you ever notice. how much sense. mathematical definitions. usually make?. The goal in solving. radical equations. is the same as the goal. in solving most equations. We need to isolate. - PowerPoint PPT PresentationTRANSCRIPT
43 x
1573 x
281413 xx
A radical equationis an equation
that contains a radical.
43 x
Did you ever noticehow much sense
mathematical definitionsusually make?
The goal in solvingradical equations
is the same as the goalin solving most equations.
43 x
We need to isolatethe variable.
43 x
43 x
But there is only one wayto move the variableout from under thesquare root sign.
We need to square the
43 x
radical expression.
And, because it is anequation,
what we do to one side,
43 x
And, because it is an
24
equation,what we do to one side,
we have to do to the other.
23x
And now, we need
24
to simplify:
23x 23x 3x
Remember, nn 2
no matter what n is.
(Even if n is an expression)
24 23x
3x
So we have:
16
So we have:So we have:
163x33
19x
Solve for x:283433 xx
Step 1. Simplify the expression:
Solve for x:283433 xx
287 3x
Solve for x:2837 x
Step 1. Simplify the expression.Step 2. Isolate the radical.
Solve for x:2837 x
7 743 x
Solve for x:43 x
Step 1. Simplify the expression.Step 2. Isolate the radical.Step 3. Square both sides.
Solve for x:43 x
22 43 x163 x
Solve for x:
Step 1. Simplify the expression.Step 2. Isolate the radical.Step 3. Square both sides.
163 x
Step 4. Solve the equation.
Solve for x:163 x
3313x
Try this one:
181326 xSolve for x:
3132 x9132 x222 x11x
15555552 xxSolve for x:
15553 x
2555 x205 x4x
555 x