Answer:
x = 1, x = 4
Step-by-step 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.
