Given 3 Λ 2x-10 × 3 Λ x + 9 = 0, then the value of x square + 1 is (3 ^ x-1) (3 ^ X-9) = 0.

Given 3 Λ 2x-10 × 3 Λ x + 9 = 0, then the value of x square + 1 is (3 ^ x-1) (3 ^ X-9) = 0.


(3 ^ x-1) (3 ^ X-9) = 03 ^ X-1 = 0, 3 ^ X-9 = 0, x = 2 ∧ X & # 178; - 10 × 3 ^ x + 9 = 0 (3 ^ x) &# 178; - 10 × 3 ^ x + 9 = 0 is equivalent to a & # 178; - 10A + 9 = 0



The value of 2x (square of X + X + 1) - 2x (square of X + 1)


2X (x's square + X + 1) - 2x's Square (x + 1)
=2x³+2x²+2x-2x³-2x²
=2x



Given that X-Y = 1, the square of x plus the square of Y equals 25, find the value of x times y


(x-y)²=1
x²-2xy+y²=1
Because X & # 178; + Y & # 178; = 25
Then: 25-2xy = 1
xy=12



The perimeter ratio of the big circle and the small circle is 5:3. It is known that the area difference between the two circles is 32 square centimeters. What are the areas of the two circles?


The area ratio is
(5×5):(3×3)=25:9
So, the area of the great circle is
32 ÷ (25-9) × 25 = 50 (square centimeter)
The area of the small circle is
32 ÷ (25-9) × 9 = 18 (cm2)



Is there a formula for the side area of a regular prism


Take the perimeter of the bottom by the length of the side edge



Given chord length and chord height, how to find radius? Also known arc length, find radius?


Radius = (chord length divided by 2 and then squared plus the square of chord height) re root L = 2L π R radius = arc length / (2L)



Sum: 1 / 2-1 / 4 + 1 / 8-1 / 16 + +(-1)^n-1*1/2^n


1/2-1/4+1/8-1/16+…… +(- 1) ^ n-1 * 1 / 2 ^ n you can try adding brackets in pairs
=(1/2-1/4)+(1/8-1/16)+...+[(-1)^n-1*1/2^n]
=1/4+1/16+...+1/2^n
That is to say, an equal ratio sequence with the first term of 1 / 4, the common ratio of 1 / 4 and the phase number of N / 2 can be obtained



Ancient poems on Guazhou


Berthing a boat on Guazhou
Wang Anshi (Song Dynasty)
Jingkou Guazhou a water, Zhongshan only separated by several mountains
When will the moon shine on me?



It is known that the focal length of the ellipse x ^ 2 / 10-m + y ^ 2 / m-2 = 1 is 4 if the focus of the ellipse is on the x-axis
Two fixed points a (1,0), B (- 1,1) point P is a point on the ellipse, find the value range of | PA | ^ 2 + | Pb | ^ 2


(10-m) - (m-2) = (2) 2 \\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\- 1) & 178; = 12cos



The circumference of a rectangle is 48 decimeters, and its length is 1 / 3 of its width. How many decimeters are the length and width of the rectangle?


The sum of length and width is
48 △ 2 = 24 decimeters
Kuan Shi
24 (1 + 1 and 2 / 3) = 9 decimeters
Long is
24-9=15