Quadratic Equations Problems - page 18 of 30
Number of problems found: 584
- The length
The length of a rectangle is 6 meters less than twice the width. If the area of the rectangle is 216 meters, find the rectangle's dimensions. - Two Cyclists Average Speed
Two cyclists rode from Prague to Poděbrady. Determine the average speed of each of them if you know that they traveled 56 km and that the slower one lost two kilometers to the faster one every hour so that he arrived in Poděbrady 30 minutes later. - Solid cuboid
A solid cuboid has a volume of 40 cm³. The cuboid has a total surface area of 100 cm squared. One edge of the cuboid has a length of 2 cm. Find the length of a diagonal of the cuboid. Give your answer correct to 3 sig. Fig. - Concert Ticket Prices
A total of 256 tickets were sold for the concert. CZK 2,800 was collected for tickets under the stage, and CZK 2,160 for tickets to the corridors. Determine the price of tickets under the stage and on the corridors, if you know that the ticket under the p - Equation solving
Solve the equation (y + 5 / y-3) + (y + 3 / y-5) = 3 - Area of garden
If the width of the rectangular garden is decreased by 2 meters and its length is increased by 5 meters, the area of the rectangle will be 0.2 ares larger. If the garden's width and length will increase by 3 meters, its original size will increase by 0.9 - Number product increase
The product of the two numbers is 504. When one of them increases by six, the product increases to 720. It determines both factors. - Dimensions of a cylinder
We rolled a cylinder shell with a volume of 18 / π dm³ from a rectangle with an area of 6 dm². Calculate the dimensions of the rectangle. - Evaluation of expressions If a²-3a+1=0, find (i)a²+1/a² (ii) a³+1/a³
- Expression with powers If x-1/x=5, find the value of x4+1/x4
- Speed of car
The car went to a city that was 240 km away. If his speed increased by 8 km/h, it would reach the finish one hour earlier. Determine its original speed. - Permutations Equation Elements
Seven times the permutations of n elements equal one-eighth of the permutations of n + 2 elements. What is the number of elements? - Young mathematician
A young mathematician was bored. He found that the average age of people in the room where the seminar is held is equal to its count. Then, his 29-year-old brother entered the room. Even then, the average age of all present was the same as the count of pe - Three Cars on Route On the 182 km route, car A left at 9:00 a.m., car B at 9:30 a.m., and car C at 9:45 a.m. All three cars reached their destination at the same time. The average speeds of cars A and B differed by 6.5 km/h. How much did the average rates of cars A and C dif
- Geometric Sequence Adding Number
If we add the same number x to the numbers -1,3,15,51, we get the first four members of the geometric sequence. Calculate the number x and the first four members of the geometric sequence. - Consecutive Numbers Product Difference
The product of two consecutive natural numbers is 46 less than the product of the other two consecutive natural numbers in a row. Identify unknown numbers. - Find radius Find the radius of the circle using the Pythagorean theorem where a=9, b=r, c= 6+r
- Thunderstorm
The height of the pole before the storm is 10 m. After a storm, when they check it, they see that the ground from the pole blows part of the column. The distance from the pole is 3 meters. At how high was the pole broken? (In fact, the pole created a rect - Prism and wall diagonal The ABCDA'B'C'D' prism has a square base. The wall diagonal of the AC base is 9.9 cm long, and the body diagonal AC' is 11.4 cm long. Calculate the surface area and volume of the prism.
- Garden measurements
The lengths of the sides of the rectangular garden are in the ratio of 1:2. The connection of the centers of the adjacent sides is 20 m long. Calculate the perimeter and area of the rectangle.
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