Find the no of solution `(2x^2-3x+1)(2x^2+5x+1)=4x^2`

Find the solution set of ((x-1)(x-2)(x-3)^(2))/((x-4)^(2)(x-5)^(3)) lt 0

Find the solution set of ((x-1)(x-2)(x-3)^(2))/((x-4)^(2)(x-5)^(3)) lt 0

Find the roots of the following equations: (5x-6)/(4x-1)=(2x+3)/(3x+2)

Let the equation x^(5) + x^(3) + x^(2) + 2 = 0 has roots x_(1), x_(2), x_(3), x_(4) and x_(5), then find the value of (x_(2)^(2) - 1)(x_(3)^(2) - 1)(x_(4)^(2) - 1)(x_(5)^(2) - 1).

Find the partial fraction (2x+1)/((3x+2)(4x^(2)+5x+6)) .

Find the partial fraction (2x+1)/((3x+2)(4x^(2)+5x+6)) .

Find the partial fraction (2x+1)/((3x+2)(4x^(2)+5x+6)) .

Without expanding, find the value of: (i) (x + 1)^4 - 4(x + 1)^3 (x - 1) + 6(x + 1)^2 (x - 1)^2 - 4(x + 1) (x - 1)^3 + (x -1)^4 (ii) (2x - 1)^4 + 4(2x - 1)^3 (3 - 2x) + 6(2x - 1)^2 (3 - 2x)^2 + 4(2x - 1) (3 - 2x)^3 + (3 - 2x)^4

(b) Find the square root of 4x^(4) - 4x^(3) + 5x^(2) -2x +1