The range of values of a, so that all the roots of the equation are real and distinct, belong to
74195
Find values of $a$ for which function will have real roots
42165
Complex numbers and Roots of unity
73478
Show that the equation $a_1e^{\alpha_1x} + a_2e^{\alpha_2x} + \cdots + a_ne^{\alpha_nx} = 0$ has at most $n - 1$ real roots.
82085
Without solving the equation, show that all nine roots of $(𝑧 − 1)^{10} = 𝑧^{10}$ lie on the line $Re (𝑧) = \frac{1}{2}$
13981
Proof that every polynomial of odd degree has one real root
145397
How to prove that for every $i$, $a_i = i$
154507
If all the roots of a polynomial P(z) have negative real parts, prove that all the roots of P'(z) also have negative real parts
82365
what should be the range of $u$ satisfying following equation.
17886
Values of square roots
76482
Closure of the set of degree $n$ polynomials with $n$ real roots
49899
Determine the number of real roots
81381
Why does the domain and range of $\sqrt x$ contain only positive real numbers?
9966
Range of a Rational Function
142000
Prove that there is an irrational number and a rational number between any two distinct real numbers
56697
How to show that the given equation has at least one complex root ,a s.t |a|>12
79925
Infinitely many values of $x$ that satisfy the equations
134857
Find $(a,b)$ if $x^2-bx+a = 0, x^2-ax+b = 0$ both have distinct positive integers roots