Thursday

December 18, 2014

December 18, 2014

Posted by **Anonymous** on Saturday, May 8, 2010 at 9:09pm.

how do i do this.

1.x1/4=2

2.x2/3=16

3.x1/2=8

- math -
**MathMate**, Sunday, May 9, 2010 at 9:16amUse the rules of exponents, for example:

x^{a+b}=x^{a}+x^{b}

x^{a*b}=(x^{a})^b

x^{1/4}=2

raise to the fourth power on each side:

(x^{1/4})^4=2^4

x^{(1/4)*4}=16

x=16

However, note that since 2^4=16, (-2)^4=16, the roots to the equation*appear*to be 2,-2.

Since we have squared both sides of the equation, twice, we need to check for extraneous roots (that may have been introduced because of squaring) by substituting the*possible*answers into the original equation.

We find that -2 is not a correct answer, thus an extraneous root.

The answer is therefore 2.

I will leave you to tackle the remaining questions.

**Answer this Question**

**Related Questions**

Precalculus - Solve (log x)^2 = log x Also, when will their be a possibility ...

Math - Solve the equation. Identify any extraneous solutions. x = sqrt root 3x...

Alg 2 - Solve the equation. Check for extraneous solutions. ln x + ln(x-2) = 1

algebra - Solve each equation. Watch for extraneous solutions 5/y-3 = y+7/2y-6 +...

Math-Clarification - Identify any real and extraneous solutions for the ...

algebra - Solve the equation check for extraneous solutions 9[9-8x]=2x+3 please ...

math - Solve the equation check for extraneous solutions 6/6-4x/=8x+4 I used/ / ...

algebra 2 - Solve the equation. Check for extraneous solutions. 9|9-8x|=2x+3 can...

Alg 2 - Solve the equation. Check for extraneous solutions. 10 ln 100x - 3 = ...

math - compare and contrast: below are two equations. solve each equation and ...