kx(x-2sqrt(5))+10=0

Find the values of k for which the roots are real and equal in the following equations: kx^(2)+4x+1=0 (ii) kx^(2)-2sqrt(5)x+4=0

(6) sqrt(5)x^(2)-2sqrt(2)x-2sqrt(5)=0

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

Solve by factorization: 3sqrt(5)x^(2)+25x-10sqrt(5)=0

The value of int_(5)^(10)(sqrt(x+sqrt(20x-100))+sqrt(x-sqrt(20x-100)))dxis (1) 10sqrt(5)(2)5sqrt(5)(3)10sqrt(2)(4)8sqrt(2)

Prove that: sin36^0=(sqrt(10-2sqrt(5)))/4 .

Evaluate: lim_(x rarr 0) (sqrt(5+x)-sqrt(5-x))/(sqrt(10+x)-sqrt(10-x)) .

Solve by factorization: 3sqrt(5)x^2+25 x-10sqrt(5)=0

if x=2^(sqrt(5))*5^(sqrt(2)) then log_(10)x=(sqrt(A)-sqrt(B))log_(10)2+sqrt(B) then find A+B

The locus of the point of intersection of the lines, sqrt(2)x-y+4sqrt(2)k=0" and "sqrt(2)kx+ky-4sqrt(2)=0 (k is any non-zero real parameter), is: