Wednesday

April 23, 2014

April 23, 2014

Posted by **Anonymous** on Monday, September 16, 2013 at 11:51pm.

please explain=)

- math -
**Jai**, Tuesday, September 17, 2013 at 12:21am(4x)^(2/3) = (30x+4)^(1/3)

To do this, note that it's much easier to work with whole number exponents. This we raise both side terms by 3, so that the denominator 3 will be cancelled:

(4x)^(2/3 * 3) = (30x+4)^(1/3 * 3)

(4x)^2 = (30x+4)^1

16x^2 = 30x + 4

Solving for x,

8x^2 - 15x - 2 = 0

(8x + 1)(x - 2) = 0

x = 2

x = -1/8

Then we check by substituting these x values to the original equation:

i. x = 2

(4x)^(2/3) = (30x+4)^(1/3)

(4*2)^(2/3) = (30*2+4)^(1/3)

(8)^(2/3) = 64^(1/3)

2^2 = 4

4 = 4

Thus x is indeed equal to 2.

ii. x = -1/8

(4x)^(2/3) = (30x+4)^(1/3)

(4*(-1/8))^(2/3) = (30*(-1/8)+4)^(1/3)

(-1/2)^(2/3) = (-15/4 + 16/4)^(1/3)

(1/4)^(1/3) = (1/4)^(1/3)

Thus x is also equal to -1/8.

Hope this helps~ :3

- math -
**sara**, Wednesday, September 18, 2013 at 2:05ami didnt get how 16x^2 turned into 8x^2

16x^2 = 30x + 4

Solving for x,

8x^2 - 15x - 2 = 0

**Related Questions**

Math - find any stationary points of the function g(x) = (2x-3)square root of 5+...

ALGEBRA - If I divide 28x^3-30x^2-67x-21 BY 7x+3...will I get 4x^2-10x-21? THEN ...

Algebra help/ look over please - Can you please look over these and let me know ...

8th grade math - y=1/4x-1 1/2y=x-2 2x+3y=3 3y=5-2x 4x-y=3 4x=y=1 I don't ...

Algebra - Two more Algebra questions : Drawing a blank on this one, not sure ...

Algebra - Two more Algebra questions : Having some difficulty with these. ...

Algebra - A sports team is building a new stadium on a rectangular lot of land. ...

math - 1)4x^+16x=48 2) 3x^+72=-30x

Math help please - 1. 2(3x + 5) = 46 4 5 6 7 2. 1/2x + 1/4x = 16 16 21.3 32 64 3...

Math help please last question - Solve the equation. 10. 2(4x -4) + 2(3x + 2) = ...