11ladyprincessatipv 11ladyprincessatipv

24-01-2022
Mathematics

contestada

show that x^2 + 2x + 5 is positive for all real values of x

Respuesta :

surjithayer10otahza surjithayer10otahza

24-01-2022

Answer:

Step-by-step explanation:

x²+2x+5

=x²+2x+1+4

=(x+1)²+4

≥ 4

∀ real x

Hence x²+2x+5 ≥ 4≥0

Hence it is always positive.

Answer Link

Otras preguntas

Which statement best explains why the Big Bang Theory is the leading scientific explanation of the development of the universe over time? Its experiments reject

A planet is discovered that is the same size as Earth and has the same gravitational acceleration, but it has twice the mass. If you weigh 700 N on Earth, on t

simplify the radical expression. (square root of 10/121)

Suppose that the x-intercepts of a graph of y = f(x) are -9, and -5 What are the intercepts of a graph of y = 5f(x) ?

Reba put $61 into a CD that pays 6.5% interest compounded semi-annually. According to the Rule of 72, approximately how long will it take for her money to doubl

extreme emotions can be caused by

In which quadrant does the image of (-4,1) lie after a reflection in the origin

Paul bought a 15-year treasury bond for a face amount of $600. The 2.5% interest will be compounded quarterly. What will the future value of Patrick's investmen

please can anybody help me with this thanks i suck at this type thanks starting from 100 ft away. your friend skates toward you and then passes you. she skates

What trend do you observe in electronegativity on the periodic table? -increases from left to right - increases from top to bottom - increases in all di