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x2/3-2x1/3-3=0solve by making an appropriate substitution

Question

x2/3-2x1/3-3=0

solve by making an appropriate substitution

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Step 1

We have been given an equation with fractional exponents that we need to solve. 

2x3 -3 0
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2x3 -3 0

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Step 2

In order to solve this equation, we can use the substitution x^1/3 = y. Upon doing so, we will get our equation as shown below:

- 2x3 -3
0
Upon using substitution x3 = y
2y30
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- 2x3 -3 0 Upon using substitution x3 = y 2y30

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Step 3

Upon solving this equation ...

-2y-3 0
-3y+ y-3 = 0
y(y3)1y0
(y+1)y3)0
= 0
y=-1,3
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-2y-3 0 -3y+ y-3 = 0 y(y3)1y0 (y+1)y3)0 = 0 y=-1,3

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Tagged in

Math

Algebra

Equations and In-equations

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