SOLUTION: Transform each equation of quadratic type into a quadratic equation in u and state the substitution used in the transformation. If the equation is not an equation of quadratic type

Algebra ->  Equations -> SOLUTION: Transform each equation of quadratic type into a quadratic equation in u and state the substitution used in the transformation. If the equation is not an equation of quadratic type      Log On


   

Question 934043: Transform each equation of quadratic type into a quadratic equation in u and state the substitution used in the transformation. If the equation is not an equation of quadratic type, say so.
2x^-6 – 4x^-3 = 0
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
2%2Fx%5E6-4%2Fx%5E3=0

Lowest or simplest common denominator is x^6, so .....

....

2%2Fx%5E6-4x%5E3%2Fx%5E6=0

%282-4x%5E3%29%2Fx%5E6=0

You only want to find x to make numerator zero, and you need not worry about any solution of x=0.

The equation is not quadratic in type. Any u-substitution neither seems necessary.

2%281-2x%5E3%29=0
1-2x%5E3=0
2x%5E3=1

x%5E3=1%2F2

highlight%28x=root%283%2C%281%2F2%29%29%29 and you could rationalize the denominator if you want.