If `x =-1` and `x=1/5` are solutions of the equations `x^2 + kx + lambda = 0`. Find the value of k and `lambda`

If 1/2 is a root of the equation x^(2)+Kx - 5/4 = 0 , find the value of K.

If 1/2 is a root of the equation x^2+kx-5/4=0, then find the value of k.

If x=-(1)/(2) is a solution of the quadratic equation 3x^(2)+2kx-3=0 , find the velue of k.

If x=-(1)/(2) is a solution of the quadratic equation 3x^(2)+2kx-3=0 , find the velue of k.

The product of integral solution of the equation |||x-1|-2|-1|=2 is -lambda , then find the value of lambda

If (1)/(2) is a root of the equation x^(2)+kx-(5)/(4)=0, then find the value of k.

Let the number of solutions of the equations sinx =x^(2) - 4x +5 be lambda . The general solution of the equation 1+tan((lambda^(2) - 2lambda + 1)theta) + 2/(1-tan((lambda^(2) + 2lambda+1)theta)=0 is

Let the number of solutions of the equations sinx =x^(2) - 4x +5 be lambda . The general solution of the equation 1+tan((lambda^(2) - 2lambda + 1)theta) + 2/(1-tan((lambda^(2) + 2lambda+1)theta)=0 is

If one root of the equation 3x^(2)-5x+lambda=0 is the reciprocal of the other, then the value of lambda is

The range of value's of k for which the equation 2 cos^(4) x - sin^(4) x + k = 0 has atleast one solution is [ lambda, mu] . Find the value of ( 9 mu + lambda) .