9a^(2)b^(2)x^(2)-24abcdx+16c^(2)d^(2)=0quad a!=0,b+0

Determine the nature of the roots of the following quadratic equations: 9a^(2)b^(2)x^(2)-24abcdx+16c^(2)d^(2)=0,a!=0,b!=0 (ii) 2(a^(2)+b^(2))x^(2)+2(a+b)x+1=0 (iii) (b+c)x^(2)-(a+b+c)x+a=0

Determine the nature of the roots for the following quadratic equations 9a^(2)b^(2)x^(2)-24abcdx+16c^(2)d^(2)=0, ane0 , bne0

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

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

Determine the nature of the roots of the following quadratic equations: (i) 9a^2b^2x^2-24 a b c dx+16 c^2d^2=0,\ \ a!=0,\ b!=0 (ii) 2(a^2+b^2)x^2+2(a+b)x+1=0 (iii) (b+c)x^2-(a+b+c)x+a=0

Prove that the roots of the equation (a^(4)+b^(4))x^(2)+4abcdx+(c^(4)+d^(4))=0 cannot be different,if real.

16a^(2)-24a+2bc+9-b^(2)-c^(2)

(a-5)^(2)+(b-c)^(2)+(c-d)^(2)+(b+c+d-9)^(2)=0, then the value of (a+b+c)(b+c+d) is :