Question

2x^2/3-x^1/3=28 solve the quadratic equation

Answer 1

Try substituting x^1/3=a

I answered an exactly same question few minutes ago

Answer 2

Answer:

x = 64

Explanation:

2x ^ 2/3 - x ^ 1/3 = 28

Re-arrange equation so that one side is equal to 0:

2x ^ 2/3 - x ^ 1/3 - 28 = 0

Solve using substitution t = x ^ 1/3:

2t ^ 2 - t - 28 = 0

t = -7/2 or t = 4

x ^ 1/3 = -7/2 or x ^ 1/3 = 4

x = -343/8 or x = 64

Subsitute and check if x = -348/8.

Expression is undefined in the set of Real Numbers, therefore x = -3488 is not a solution of the equation.

x ≠ -348/8

x = 64