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25 votes
25 votes
Bro I am so tired it’s 10 pm and I literally do not know what to do for this question if any of you know what to do please solve it

Bro I am so tired it’s 10 pm and I literally do not know what to do for this question-example-1
User Dan Abramov
by
2.7k points

1 Answer

14 votes
14 votes

Answer:

x = 1, x = 4

Explanation:

First, let x = u^(2/3)

The problem given has a third power and also a 1.5 power. That is just oof! So choosing "u to the 2/3 power" to substitute in for x will make this equation be a straightforward quadratic that you can factor and solve.

see image.

Substitute

x = u^(2/3)

This gives you:

u^2 - 9u + 8 = 0

Factor.

(u - 1)(u - 8) = 0

Solve.

u-1 = 0 and u-8=0

u = 1 and u = 8

Substitute back into

x = u^(2/3)

x = 1^(2/3) and

x = 8^(2/3)

Remember some exponent rules and definitions. The 2 in the 2/3 will square the base number and the 3 (actually 1/3) will cuberoot the base number. See image. Hope this helps.

Bro I am so tired it’s 10 pm and I literally do not know what to do for this question-example-1
Bro I am so tired it’s 10 pm and I literally do not know what to do for this question-example-2
User Rins
by
2.8k points
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