It is known that the quadratic equation KX ^ + KX + 1 = 0 with respect to X has two equal real roots, then the value of K is___ It is known that the equation x ^ - 2x + k = 0 about X has no real root, then the value range of K is

It is known that the quadratic equation KX ^ + KX + 1 = 0 with respect to X has two equal real roots, then the value of K is___ It is known that the equation x ^ - 2x + k = 0 about X has no real root, then the value range of K is

Question 1:
Because KX ^ + KX + 1 = 0 has two equal real roots
So delta = 0
b^2 - 4ac = 0
k^2 - 4k = 0
So K1 = 0, K2 = 4
Because the quadratic equation KX ^ + KX + 1 = 0, a ≠ 0
So K1 = 0 is rounded off
So k = 4
(it should be known that the basic form of binary linear equation: ax ^ 2 + BX + C = 0 (a ≠ 0))
Question 2:
x^-2x+k=0
a = 1 b = -2 c = k
From the question, we can get △ < 0 (because there is no real number root)
That is, B ^ 2 - 4ac < 0
4 - 4k < 0
k