" (iv) "a^(2)x^(2)-3abx+2b^(2)=0

In each of the following,determine whether the given values are solutions of the given equation or not: 2x^(2)-x+9=x^(2)+4x+3,x=2,x=3 (ii) -sqrt(2)x-4=0,x=-sqrt(2),x=-2sqrt(2) (iii) a^(2)x^(2)-3abx+2b^(2)=0,x=a/b,x=b/a

Solve the equation a^(2)x^(2)-3abx+2b^(2)=0 by the method of completing the square.

Solve by factorization: a^(2)x^(2)-3abx+2b^(2)=0

Find the roots of the equation a^(2)x^(2)-3abx+2b^(2)=0 by the method of completing the square.

In the following,determine whether the given quadratic equations have real roots and if so, find the roots: 2x^(2)-2sqrt(6)x+3=0 (ii) 3a^(2)x^(2)+8abx+4b^(2)=0,quad a!=0

(a+b)^(2)x^(2)-4abx-(a-b)^(2)=0

The roots of the equation 2a^(2)x^(2) - 2abx + b^(2) = 0 when a lt 0 and b gt 0 are :

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

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