Question 625130
4x-2√(x-1)=6x-14
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{{{4x - 2sqrt(x-1) = 6x - 14}}}
{{{-2sqrt(x-1) = 2x - 14}}}
{{{-sqrt(x-1) = x - 7}}}
Square both sides
{{{x-1 = x^2 - 14x + 49}}}
{{{x^2 - 15x + 50 = 0}}}
(x-5)*(x-10) = 0
x = 5
x = 10