How to find the maximum value of X / (1 + x)

How to find the maximum value of X / (1 + x)


Obviously x > = 0
X = 0, the original formula = 0
x>0
Then √ x > 0
Divide up and down by 1 / (√ x + 1 / √ x)
If √ x > 0, then √ x + 1 / √ x > = 2
So 0



In triangle ABC, a = 2, B = 2 times root 2, C = 15 degrees, solve triangle


First of all, use cosine theorem to find C: C ^ 2 = a ^ 2 + B ^ 2 - 2Ab * COSC = 8 - 4 times root sign 3, then use sine theorem to find a, BA / Sina = B / SINB = C / sinc, so Sina = sinc * A / C = 1 / 2, a = 30 degree, SINB = sinc * B / C = 2 / 2 root sign, 2b is obtuse angle, so = 135 degree



1. In the triangle ABC, it is known that sinA:sinB= Root 2:1, C ^ 2 = B ^ 2 + root 2BC, find the degree of three angles


According to the sine theorem: A / Sina = B / SINB, Sina / SINB = A / B can be obtained from the meaning of the title: A / b = √ 2 / 1, a = √ 2B, according to the cosine theorem, cosa = (B & # 178; + C & # 178; - A & # 178;) / 2BC = [B & # 178; + (B & # 178; + √ 2BC) - 2b & # 178;] / 2BC = √ 2BC / 2BC = {2 / 2} a = 45 °



How to calculate 19 × 27 + 19 × 23 + 190 × 5 simply


Original formula = 19 * (27 + 23) + 190 * 5
=19*50+190*5
=19*50+19*50
=19*50*2
=19*100
=1900



27/13*()=8/3*()=6/5*()=1
It's from the bottom


27/13*(13/27)=8/3*(3/8)=6/5*(5/6)=1



-5.27+3.8-(-1.2)+(-0.5)


-5.27+3.8-(-1.2)+(-0.5)
=-5.27+3.8+1.2-0.5
=-5.77+5
=-0.77



_ (68)=?_ (+ 0.75) =? Simplify the following numbers


-68
-0.75



Simplification: A-1 / A-1


Hello
a²/(a-1)-a-1
=【a²-(a+1)(a-1)】/(a-1)
=(a²-a²+1)/(a-1)
=1/(a-1)
If you don't understand this question, you can ask. If you are satisfied, remember to adopt it
If you have other questions, please send them separately or click to me for help
I wish you progress in your study!



How to simplify positive and negative numbers, such as + l-14l


|The absolute value sign in - 14 | changes - 4 to + 4, so + | - 14 | = 14



Simplify the solution of positive and negative numbers * to find the formula [- (- 5), - (+ 2), + (- 3)]


5 -2 -3