Home
Class 11
MATHS
The coefficient of the quadratic equatio...

The coefficient of the quadratic equation `a x^2+(a+d)x+(a+2d)=0` are consecutive terms of a positively valued, increasing arithmetic sequence. Then the least integral value of `d//a` such that the equation has real solutions is __________.

Promotional Banner

Similar Questions

Explore conceptually related problems

The real roots of the quadratic equation x^(2)-x-1=0 are ___.

Number of integral values of b for which the equation (x^3)/3-x=b has three distinct solutions is____

Number of integral values of a such that the quadratic equation x^(2)+a x+a+1=0 has integral roots is

For what value of k the equation sinx+cos(k+x)+cos(k-x)=2 has real solutions?

The number of integral values of b, for which the equation x^(2)+bx-16=0 has integral roots, is

Find the values of p so that the equation 2cos^2x-(p+3)cosx+2(p-1)=0 has a real solution.

If x=9 is one root of the quadratic equation x^(2)-11x+k=0 , then find the value of k.

find the values k for which the quadratic equation 2x^2 + Kx +3=0 has two real equal roots

Find the number of integral values of k for which the equation 7 cos x+5 sin x=2k+1 has at least one solution.

Find the set of real value(s) of a for which the equation |2x+3|+|2x-3|=a x+6 has more than two solutions.