Solving equation x2-6 / x2-x = X-1

Solving equation x2-6 / x2-x = X-1


X = 2 or - 1
Pass and share
x^4-2x^3+2x^2-x-6=0
The factorization results in (x + 1) (X-2) (x ^ 2-x + 1) = 0



Solution equation: x2 + 1 + x = 6 / x + x2


Let X & # 178; + x = t change the original equation to t + 1 = 6 / TT & # 178; + T-6 = 0 (T + 3) (T-2) = 0, then t = 2 or - 31) x & # 178; + x = 2x & # 178; + X-2 = 0 (x + 2) (x-1) = 0 x = - 2 or x = 12) x & # 178; + x = - 3x & # 178; + X + 1 / 4 = - 11 / 4 (x + 1 / 2) &# 178; = - 11 / 4, so x has no solution



Solve equation 6 (x2 + 1 / x2) + 5 (x + 1 / x) = 38


If t = x + 1 / x, then x2 + 1 / x2 = T ^ 2-2
6(t^2-2)+5t=38
6T ^ 2 + 5t-50 = 0, t = 5 / 2 or - 10 / 3
Then we can solve x + 1 / x = 5 / 2 or - 10 / 3
The solution is x = 2 1 / 2 - 3 - 1 / 3



How many square meters of wood do you need to make a round table with a diameter of 1.2 meters? If the price of wood board per square meter is 100 yuan, how much does it cost to make this round table top? (keep one decimal place)


3.14 × (1.22) 2, = 3.14 × 0.36, = 1.1304 (square meters); 1.1304 × 100, = 113.04, ≈ 113.0 (yuan). Answer: at least 1.1304 square meters of wood is needed; at least 113.0 yuan is needed to make this round table



How many square meters of wood do you need to make an original tabletop with a diameter of 1.4 meters {two decimal places}? If the price of wood is 100 yuan per square meter,
How much does it cost to make this round table


At least 3.14 × (1.4 ÷ 2) &# 178; ≈ 1.54 square meters
It costs 154 yuan to make this round table top



What percentage of the board may be wasted when a board 1 m long and 0.8 m wide is used to make the largest round table?


It should be: (1-3.14 * 0.4 * 0.4 / 0.8) * 100% = 37.2%



With a piece of 1 meter long, 8 decimeters wide wood processing into a largest round desktop, may consume a few percent of the board


Taking the length allowed by the width as the diameter of the circle, the calculated area is 0.5026 square meters, and the total rectangular area is 0.8 square meters, then the loss of wood is 1-0.5026/0.8 = 0.3716, that is 37.16%



There is a rectangular board 18 decimeters long and 10 decimeters wide. We need to use it to make a round desktop as large as possible. How many square meters is the area of this round desktop?


3.14 × (10 △ 2) 2, = 3.14 × 25, = 78.5 (square decimeter), = 0.785 (square meter); answer: the area of this round table top is 0.785 square meter



A 450 cm long and 150 cm wide board. Dad wants to cut off a round board to make a table top. How much should the diameter of the table top be
What's the formula


d



How many square meters does it take to make 10 round tabletops with a diameter of 1 meter?


Because the diameter is 1m
Therefore, a table should have at least one square board with 1m edge
10 * 1 * 1 = 10 square meters
perhaps
1 / 2 = 0.5 (radius)
0.5*0.5*3.14
=0.25*3.14
= 0.785
0.785 * 10 = 7.85m2