Find the real values of the parameter a such that `(2a + 1)x^2-a(x-1) = 2` has one root greater than 1 and other less than 1

The set of real values of a for which the equation x^(2) = a(x+a) has its roots greater than a is

The set of real values of a for which the equation x^(2) = a(x+a) has its roots greater than a is

Show that the equation e^(x-1)+x-2=0 has no real root greater than 1.

If bgta then show that the equation (x-a)(x-b)-1=0 has one root less than a and other root greater than b.

If bgta then show that the equation (x-a)(x-b)-1=0 has one root less than a and other root greater than b.

Find the values of the parameter a for which the roots of the quadratic equation x^(2)+2(a-1)x+a+5=0 are such that one root is greater than 3 and the other root is smaller than 1.

Find the values of the parameter a for which the roots of the quadratic equation x^(2)+2(a-1)x+a+5=0 are such that one root is greater than 3 and the other root is smaller than 1.

Find the values of the parameter a for which the roots of the quadratic equation x^2+2(a-1)x+a+5=0 are such that one root in greater than 3, and the other is smaller than 3

Find the values of the parameter a for which the roots of the quadratic equation x^(2)+2(a-1)x+a+5=0 are such that one root is greater than 3, and the other is smaller than 3.