If one root `x^2-x-k=0` is square of the other, then `k=` a.`2+-sqrt(5)` b. `2+-sqrt(3)` c. `3+-sqrt(2)` d. `5+-sqrt(2)`

If one root x^(2)-x-k=0 is square of the other,then k=a.2+-sqrt(5)b.2+-sqrt(3)c3+-sqrt(2)d.5+-sqrt(2)

2sqrt(3)x^(2)+x-5sqrt(3)=0

sqrt2x^2-3x+5sqrt2=0 sum of the roots is……

The complete set of values of k , for which the quadratic x^2-k x+k+2=0 has equal roots, consists of 2+sqrt(12) (b) 2+-sqrt(12) (c) 2-sqrt(12) (d) -2-sqrt(12)

x^(2)+(3-sqrt(5))x-3sqrt(5)=0

If x=5+2sqrt(6), then sqrt(x)-(1)/(sqrt(x)) is a.2sqrt(2)b2sqrt(3)c*sqrt(3)+sqrt(2)d*sqrt(3)-sqrt(2)

If x=5+2sqrt(6), then (x-1)/(sqrt(x)) is equal to a.sqrt(2) b.sqrt(3)c.2sqrt(2)d.2sqrt(3)

The value of b for which the equation x^(2)+bx-1=0 and x^(2)+x+b=0 have one root in common is ( a -sqrt(2)(b)-i sqrt(3) (c) i sqrt(5)(d)sqrt(2)

The eccentricity of the hyperbola x^2-4y^2=1 is a. (sqrt(3))/2 b. (sqrt(5))/2 c. 2/(sqrt(3)) d. 2/(sqrt(5))

If tan(cos^(-1)x)=sin(cot^(-1)1/2) then x is equal to- a.1/sqrt(5)b.2/sqrt(5)c.3/sqrt(5)d.sqrt(5)/3