kx^(2)-2sqrt(5)x+4=0

Find the value of p/k for each of the following quadratic equations, so that they have two equal roots— :- kx^2-2sqrt5x+4=0 .

For what value of k are the roots of the quadratic equation kx(x-2sqrt(5))+10=0 real and equal?

Find the harmonic mean of the roots of the equation (5+sqrt(2))x^(2)-(4+sqrt(5))x+(8+2sqrt(5))=0

The equaiton of the line which bisects the obtuse angle between the lines x-2y+4=0 and 4x-3y+2=0 (A) (4-sqrt(5))x-(3-2(sqrt(5)) y+ (2-4sqrt(5))=0 (B) (3-2sqrt(5)) x- (4-sqrt(5))y+ (2+4(sqrt(5))=0 (C) (4+sqrt(5)x-(3+2(sqrt(5))y+ (2+4(sqrt(5))=0 (D) none of these

The equaiton of the line which bisects the obtuse angle between the lines x-2y+4=0 and 4x-3y+2=0 (A) (4-sqrt(5))x-(3-2(sqrt(5)) y+ (2-4sqrt(5))=0 (B) (3-2sqrt(5)) x- (4-sqrt(5))y+ (2+4(sqrt(5))=0 (C) (4+sqrt(5)x-(3+2(sqrt(5))y+ (2+4(sqrt(5))=0 (D) none of these

The harmonic mean of the roots of the equation ( 5+ sqrt(2)) x^2 -(4+sqrt(5)) x+(8+ 2 sqrt(5)) =0 is

The harmonic mean of the roots of the equation : ( 5+ sqrt( 2))x^(2) - ( 4+sqrt( 5))x + 8 + 2 sqrt( 5) = 0 is :

Find the harmonic mean of the roots of the equation (5+sqrt2)x^(2)-(4+sqrt5)x+8+2 sqrt5=0

If f(x) ={((sqrt(1+kx)- sqrt(1-kx))/x, -1 le x le0),(2x^(2)+3x-2, 0 lex le1):} is continuous at x = 0, thenk =