[2 divided by the square of x minus 1] [1 divided by X-1] = 1

[2 divided by the square of x minus 1] [1 divided by X-1] = 1


2/(x^2-1)-1/(x-1)=1
2 / (x + 1) (x-1) - 1 / (x-1) = 1 multiplied by (x + 1) (x-1)
2-(x+1)=x^2-1
x^2+x-2=0
(x+2)(x-1)=0
X1 = - 2, X2 = 1 (round)



Square of X + 8x + square of 16 parts of X + 4x = 1


x(x+4)/(x+4)²=1
x/(x+4)=1
x=x+4
0x=4
unsolvable



Square of X + 49.7x-3 = 0


Square of X + 49.7x-3 = 0
10x^2+497x-30=0
By formula method
x=497+√497^2+4*10*30/2*10=497+√248209/20
Or x = 497 - √ 497 ^ 2 + 4 * 10 * 30 / 2 * 10 = 497 - √ 248209 / 20



The weight of a pencil is 6 grams, and the gravity it receives is several Newtons. It is known that the area of the end of a pencil is 0.4 square centimeter
It is known that the area of the end of a pencil is 0.4 square centimeter. When two fingers press the pencil from both ends with 4 n's inside, the pressure of the end of the pencil on the finger is () Pa. (G is 10 N / kg)


G=mg
G=6*0.001*10=0.06N
Both hands use 4N force to press the pencil. According to the principle of force, the force on both hands is 4N
P = f / S = 4 / (0.4 / 10000) = 100000 = 100000 pa



If the number a is divided by the number B, the quotient is 119 and the remainder is 8______ The remainder is______ .


Divide the number a by the number B, the quotient is 119, and the remainder is 8. Expand the divisor and divisor by 10 times, the quotient is 119, and the remainder is 8 × 10 = 80



A sphere and a half sphere with equal radius each have an inscribed cube, and the volume ratio of the cube is calculated


If the inner cube side length of the ball is a, then r of the ball = √ 3 / 2 * a
Side length B of inscribed cube of hemisphere
b^2+(√2/2*b)^2=R^2=3/4*a^2
3/2*b^2=3/4*a^2
=> b=√2/2*a
Volume ratio = a ^ 3: B ^ 3 = 4: √ 2



The distance between the two places is 210 km. How many km does a and B run from each other for 3.5 hours?
Solve by equation


Let B travel x kilometers per hour
3.5(x+28)=210
x+28=60
x=32
A: the speed of B is 32 kilometers per hour



Cut the 144 cm long wire into edges to make the largest cube model. How much space does this model occupy?


Because a cube has 12 edges. Each edge of a cube has the same length
144 / 12 = 12 (CM)
So the edge length of this cube is 12 cm
To find the space occupied is to find its volume
12 * 12 * 12 = 1728 (cm3)
A: the space occupied by this model is 1728 cubic centimeters
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The perimeter of the big circle is 24 cm, and that of the small circle is 18 cm. What is the area ratio of the big circle to the small circle


S/s=R/r=24/18=4/3



Two rational numbers a, B, if a + B


Two rational numbers a, B, if a + B & lt; 0, AB & lt; 0, a & lt; B, then a < 0, b > 0, a > b
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