Answer: m < 1
x² - 2x + m = 0 (*)
a = 1 b = -2 c = m
Δ = b² - 4ac = 4 - 4m
(*) has 2 district real solutions => Δ > 0
⇔ 4 - 4m > 0
⇔ 4m < 4
⇔ m < 1
Step-by-step explanation:
Answer:
![\frac{1}{ {4}^{3} }](https://tex.z-dn.net/?f=%20%5Cfrac%7B1%7D%7B%20%7B4%7D%5E%7B3%7D%20%7D%20)
Step-by-step explanation:
![\frac{ {4}^{2} }{ {4}^{5} } = \frac{1}{ {4}^{ - 2} \times {4}^{5} } = \frac{1}{ {4}^{(5 - 2)} } = \frac{1}{ {4}^{3} }](https://tex.z-dn.net/?f=%20%5Cfrac%7B%20%7B4%7D%5E%7B2%7D%20%7D%7B%20%7B4%7D%5E%7B5%7D%20%7D%20%20%3D%20%20%5Cfrac%7B1%7D%7B%20%7B4%7D%5E%7B%20-%202%7D%20%5Ctimes%20%20%7B4%7D%5E%7B5%7D%20%20%7D%20%20%3D%20%20%5Cfrac%7B1%7D%7B%20%7B4%7D%5E%7B%285%20-%202%29%7D%20%7D%20%20%3D%20%5Cfrac%7B1%7D%7B%20%7B4%7D%5E%7B3%7D%20%7D%20)
It is called a scale factor :)
Answer:
45
Step-by-step explanation: