Question

$sqrt{6x^{2} - 3}= sqrt{5x-2}$

Answer 1

$( sqrt{6 x^{2} -3} )^{2} = (sqrt{5x-2} )^{2} \ 6 x^{2} -3x=5x-2 \ 6 x^{2} -8x+2=0 \ D= (-8)^{2} -6*4*2=16 \ x_{1} = frac{8-4}{2*6} = frac{1}{3} \ x_{2} = frac{8+4}{y=2*6} =1$