Find all real solutions for the following equation: 2x-3sqrt(x)=20 ?

1 Answer
Nov 7, 2017

no solution

Explanation:

The given equation is equivalent to:

2x-20=3sqrtx

The mixed system that solves it will be:

x>=0 and 2x-20>=0 and (2x-20)^2=(3sqrtx)^2

that's

x>=0 and x>=10 and 4x^2-80x+400=9x^2

x>=10 and 5x^2+80x-400=0

x>=10 and x^2+16x-80=0

x>=10 and x=-8+-sqrt(64+80)

x>=10 and x=-8+-sqrt(144)

x>=10 and x=-8+-12

that has no solution