55.x^(2)-40x+4a^(2)-b^(2)=0

Find the roots (if they exist) by completing the square: x^2-4a x+4a^2-b^2=0

Solve the following quadratic for x: 4x^(2)-4a^(2)x+(a^(4)-b^(4))=0

Simplify: x^(5)+10x^(4)a+40x^(3)a^(2)+80x^(2)a^(3)+80xa^(4)+32a^(5)

The biquadratic equation, two of whose roots are 1+i , 1-sqrt(2) is A) x^(4)-4x^(3)+5x^(2)-2x-2=0 B) x^(4)-4x^(3)-5x^(2)+2x+2=0 C) x^(4)+4x^(3)-5x^(2)+2x-2=0 D) x^(4)+4x^(3)+5x^(2)-2x+2=0

If the roots of x^(4)+5x^(3)-30x^(2)-40x+64=0 are in G.P.,then the roots are

A-=(-4,0),B-=(4,0) Mand N are the variable points of the y-axis such that M lies below NandMN=4. Lines AMandBN intersect at P. The locus of P is (a) 2xy-16-x^(2)=0( b) 2xy+16-x^(2)=0 (c) 2xy+16+x^(2)=0( d )2xy-16+x^(2)=0

Factorize the following :20x^(3)-40x^(2)+80x2x^(3)y^(2)-4x^(2)y^(3)+8xy^(4)10m^(3)n^(2)+15m^(4)n-20m^(2)n^(3)2a^(4)b^(4)-3a^(3)b^(5)-6ab^(3)

If the roots of x^(4) + 5x^(3) - 30x^(2) - 40x + 64 = 0 are in G.P. then the roots are

If the roots of x^(4) - 2x^(3) - 21x^(2) + 22x + 40 = 0 are in A.P. then the roots are