3((7x+1)/(5x-3))-4((5x-3)/(7x+1))=11;x!=(3)/(5),-(1)/(7)

Solve the quadratic equation by factorisation: 3((7x+1)/(5x-3))-4((5x-3)/(7x+1))=11 x != 3//5, x != 1//7

(2-7x)/(1-5x)=(3+7x)/(4+5x)

(2-7x)/(1-5x)=(3+7x)/(4+5x)

((5x+3)-(4x-2))/((5x+3)+(x-1))=(7)/(4)

Find each of the following products: (i) (x + 3) (x - 3) (ii) (2x + 5)(2x - 5) (ii) (8 + x)(8 - x) (iv) (7x + 11y) (7x - 11y) (v) (5x^(2) + (3)/(4) y^(2)) (5x^(2) - (3)/(4) y^(2)) (vi) ((4x)/(5) - (5y)/(3)) ((4x)/(5) + (5y)/(3)) (vii) (x + (1)/(x)) (x - (1)/(x)) (viii) ((1)/(x) + (1)/(y)) ((1)/(x) - (1)/(y)) (ix) (2a + (3)/(b)) (2a - (3)/(b))

(1)/(3) cos((x)/(3)-4)+(7)/(7x+9)+e^((x)/(5)+3)

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)

Simplify : (i) (5x - 9y) - (-7x + y) (ii) (x^(2) -x) -(1)/(2)(x - 3 + 3x^(2)) (iii) [7 - 2x + 5y - (x -y)]-(5x + 3y -7) (iv) ((1)/(3)y^(2) - (4)/(7)y + 5) - ((2)/(7)y - (2)/(3)y^(2) + 2) - ((1)/(7)y - 3 + 2y^(2))

Evaluate: int{(2x-3)^(5)+(1)/((7x-5)^(3))+(1)/(sqrt(5x-4))+(1)/(2-3x)+sqrt(3x+2)}dx

5x-7<3(x+3);1-(3x)/(2)<=x-4