Solve `sqrt2x^2+sqrt3x-sqrt3=0`

Solve x^(2)-(sqrt3+1)x+sqrt3=0 .

Solve 4sqrt3x^(2)+5x-2sqrt3=0 .

Solve (sqrt3 +sqrt2)^x + (sqrt3 -sqrt2)^x= 10 .

Solve sqrt(x-1)>sqrt(3-x)

Solve the following equations : sqrt2x+sqrt3y=0 sqrt3x-sqrt8y=0

Solve: 4sqrt(3)x^(2)+5x-2sqrt(3)=0.

Solve the following quadratic equations : (i) 9x^(2) - 8x+2=0 (ii) sqrt7 x^(2) +x+ sqrt7=0 (iii) 2sqrt3x^(2) -sqrt2 x + 3sqrt3 =0

Solve x+sqrt(x)>=sqrt(x)-3

Solve for x : 3x^3={x^2+ sqrt18x+sqrt32} {x^2- sqrt18x-sqrt32} -4x^2 .