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

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Answer 1 · 2017-11-07T06:33:23

no solution

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