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

If a,b,p,q are nonzero real numbers,then how many cooman roots would two equations 2a^(2)x^(2)-2abx+b^(2)=0andp^(2)x^(2)+2pqx+q^(2)=0 have?

The roots of the equation 3a^(2)x^(2)+8abx+4b^(2)=0 ,where ane0 are

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

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

sqrt(a^(2)x^(2)+2abx+b^(2)) = ……………..

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

The roots of a^(2)x^(2)+abx+b^(2),ane0 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