Solve :
`(a+b)^(2)x^(2)-(a+b)x-6=0,a+b ne 0`.

Solve for : a^2b^2x^2+b^2x-a^2x-1=0

Solve : ((x)/(x+2))^(2)-7((x)/(x+2))+12=0, x ne -2 .

5. Solve 12abx^2-9a^2x +8b^2x-6ab =0

5. Solve 12abx^2-9a^2x +8b^2x-6ab =0

Solve 6x^(2)-x-2=0 .

Solve : (a)/(ax-1)+(b)/(bx-1)=a+b , where a+b ne 0, ab ne 0 .

Solve by factorization: (a+b)^2x^2-4a b x-(a-b)^2=0

Solve 9x^(2)-9(a+b)x+5ab+2b^(2)=0 .

If the equation x^(3) + ax^(2) + b = 0, b ne 0 has a root of order 2, then

Without determining the roots of the following equations comment their nature: (i) 6sqrt3x^(2)-4x+sqrt3=0 (ii) 9a^(2)b^(2)x^(2)-48abcdx+64c^(2)d^(2)=0 (iii) a^(2)x^(2)+2abx=b^(2),a^(2)ne0 (iv) 2(a^(2)+b^(2))x^(2)+2(a+b)x+1=0 (v) (b+c)x^(2)-(a+b+c)x+a=0