`8x+4=3(x-1)+7`

" If (3x^(3)-8x^(2)+10)/((x-1)^(4))=(3)/(x-1)+(1)/((x-1)^(2))-(7)/((x-1)^(3))+(k)/((x-1)^(2)) then "k=

If 3 (5x-7) -4 (8x-13) =2 (9x-11)-17 , then the value of (7x-5)/(11x-9) is

Check whether the following are quadratic equations : (1) (x-3)^(2)=x(2x-5) (2) (2x-3)(8x+1) = (4x+5)(4x-5) (3) (5x+3)(x-2)=(4x+3)(2x-1) (4) (2x+5)^(3)=8(x-1)^(3) (5) x^(2)+7x-8=x(x+5) (6) x^(3)+9x^(2)-7x+2=(x+3)^(3)

If f(x)=7x^(4)-2x^(3)-8x-5 find f(-1)

For all x > 21, ((x^(2) + 8x + 7)(x - 3))/((x^(2) + 4x - 21)(x + 1)) = ?

If f(x) = 6x^(4) + 8x^(3) + 17x^(2) + 21x + 7 is divided by g(x) = 3x^(2) + 4x +1 , the remainder is ax + b . Find a and b.

Prove that the curves y=x^(3)-3x^(2)-8x-4,y=3x^(2)+7x+4 touch each other and equation of the common tangent is x-y+1=0 .

Obtain the differential coefficient of the following : (i) (x-1) (2x+5) (ii) (9x^(3)-8x+7)(3x^(2)+5) (iii) 1/(2x+1) (iv) (3x+4)/(4x+5) (v) (x^(2))/(x^(3)+1)