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

Determine the nature of the roots for each of the following quadratic equations. sqrt3x^(2)+sqrt2x-2sqrt3=0

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

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

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 for x sqrt(3)x^(2)-2sqrt(2)x-2sqrt(3)=0

Solve by factorization: sqrt(3)x^(2)-2sqrt(2)x-2sqrt(3)=0

Solve {sqrt(3+2 sqrt2)}^x + {sqrt(3-2 sqrt2)}^x =6 .

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

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

sqrt(3)x^(2)-2sqrt(2)x-2sqrt(3)=0