Which of the following is quadratic equation?
`(a) (x+1)^2=2(x-3)`
`(b) x^2-(sqrtx+1)`
`(c) x(sqrtx+1)=0`
`(d) (sqrtx)^2=3`

(d)/(dx)(sqrtx+(1)/(sqrtx))^2=

Which of the following are quadratic equations? (i) x^(2)8x+12=0 (ii) x+(1)/(x)=5 (iii) x+(5)/(x)=x^(2) (iv) x^(2)-5sqrtx+7=0 (v) x^(2)-5x-sqrtx+4=0 (vi) x^(2)-(1)/(x^(2))=4 (vii) 5x^(2)-7x=3x^(2)-7x+3 (viii) (1)/(4)x^(2)+(7)/(6)x-2=0

Intergrate the following with respect to x (i) 3sqrt(x^5) (ii) sqrtx - (1)/(sqrtx) (iii) (sqrtx + (1)/(x) )^2

f(x)=sqrtx-(1)/(sqrtx)

int((sqrtx+1)(x^(2)-sqrtx))/(xsqrtx+x+sqrtx)dx

Integrate: (a) (3)/(2)sqrt3 (b) (3)/(2sqrtx) (c ) sqrtx+(1)/(sqrtx)

Differentiate the following w.r.t.x (1) (3x +5) (ii) x^(-2) (iii) x^(3//2) (iv) sqrtx - (1)/(sqrtx) (v) (1)/((x +2))

1/sqrtx (sqrtx+1/sqrtx)^2

Evaluate int _(0) ^(1) ( x ^(2) + 3x +2)/( sqrtx) dx

If x=(3+2sqrt2) then (sqrtx-1/sqrtx)=