Find the range of values of `'a'` so that the equation `x^2-(a-5)x+(a-15/4)=0` has at least one positive root

If x^2-(a-3)x+a =0 has at least one positive root,then

Find the values of k so that the quadratic equation x^(2)+2(k-1)x+k+5=0 has atleast one positive root

Find the values of k so that the quadratic equation x^(2)+2(k-1)x+k+5=0 has atleast one positive root.

The values of 'a' for which the equation 4^x-a2^x-a+3=0 has at least one solution.

The set of exhaustive values of a for which the equation |ax-2|=2x^(2)+ax+4 has at least one positive root,is

If the equation a x^2+b x+c=0 has two positive and real roots, then prove that the equation a x^2+(b+6a)x+(c+3b)=0 has at least one positive real root.

If the equation a x^2+b x+c=0 has two positive and real roots, then prove that the equation a x^2+(b+6a)x+(c+3b)=0 has at least one positive real root.

Find the value of k so that the equation 2x^(2)-5x+k=0 has two equal roots.

Find the value of k so that the equation 2x^(2)-5x+k=0 has two equal roots.