The value of `lambda` in order that the equations `2x^2+5lambda x+2=0` and `4x^2+8lambdax+3=0` have a common root is given by

If x^(2)+x-1=0 and 2x^(2)-x+lambda=0 have a common root then

Find the greatest value of a non-negative real number lambda for which both the equations 2x^(2)+(lambda-1)x+8=0 and x^(2)-8x+lambda+4=0 have real roots.

If the equations 2x^(2)+kx-5=0 and x^(2)-3x-4=0 have a common root,then the value of k is

Find the greatest value of a non-negative real number lambda for which both the equations 2x^2+(lambda-1)x+8=0a n dx^2-8x+lambda+4=0 have real roots.

Find the greatest value of a non-negative real number lambda for which both the equations 2x^2+(lambda-1)x+8=0a n dx^2-8x+lambda+4=0 have real roots.

Find the greatest value of a non-negative real number lambda for which both the equations 2x^2+(lambda-1)x+8=0a n dx^2-8x+lambda+4=0 have real roots.

Find the greatest value of a non-negative real number lambda for which both the equations 2x^2+(lambda-1)x+8=0a n dx^2-8x+lambda+4=0 have real roots.

The value of lambda for which the equation 2x^(2)-2(2 lambda+1)x+lambda(lambda+1)=0 may have one root less than lambda and other root greater than lambda are given by

The value of lambda for which the equation lambda^2 - 4lambda + 3+ (lambda^2 + lambda -2)x + 6x^2 - 5x^3 =0 will have two roots equal to zero is

Let lambda,mu be such that the equations 4x^(2)-8x+3=0,x^(2)+lambda x-1=0 and 2x^(2)+x+mu=0 may have a common root for each pair of equations but all 3 equations do not have a common root,then mu xx lambda equals