Question

The quadratic equation x2 - 4x + k=0 has distinct real roots if​

Answer 1

the equation

x² - 4x + k = 0

has distinct and real roots.

hence,

b² - 4ac > 0

(-4)² - 4(1)(k) > 0

16 - 4k > 0

16 > 4k

k < $\frac{16}{4}$

k < 4

Hence, the equation x² - 4x + k = 0 has distinct real roots if k < 4