Quadratic equation - practice for 14 year olds - page 7 of 10
Number of problems found: 199
- Coefficients 4445
Find all triplets P (x) = a * x² + b * x + c with the integer coefficients a, b, and c to which it applies P (1) - Concentration 4419
We added 300 g of water to a 400 g of salt solution. This step reduces the solution's concentration by 5%. How much water did the original solution contain, and what was its concentration? - Square vs rectangle
A square and a rectangle have the same areas. The rectangle's length is nine greater, and the width is six less than the side of the square. Calculate the side of a square. - Cuboid - ratios
The sizes of the edges of the cuboid are in the ratio of 2:3:5. The smallest wall has an area of 54 cm². Calculate the surface area and volume of this cuboid.
- Work together
Michal and Dorota would do the work together in 2.25 hours. If Dorota had to do it herself, it would have taken her 6 hours longer than Michal. Determine when Dorota would do the work herself and that Michal would do it himself. - Four integers
Find four consecutive integers so that the product of the first two is 70 times smaller than the product of the next two. - MO SK/CZ Z9–I–3
John had the ball that rolled into the pool and swam in the water. Its highest point was 2 cm above the surface. The diameter of the circle that marked the water level on the ball's surface was 8 cm. Find the diameter of John's ball. - Exponential 3858
Determine m (solve the exponential equation - unknown in the exponent): 0.25 μm = 0.5 - Determine 3779
Determine the perimeter of the rectangle if its length and width are 2:1 and the area is 98 cm².
- Unknown number 4
I think number. When I divided its square root by its 1/9, I got a number 1. What number am I thinking? - Unknown number 7
Calculate an unknown number whose 12th power, when divided by the 9th power, gets a number 27 times greater than the unknown number. Determine the unknown number. - EQ2
Solve a quadratic equation: 2x²- 2(x-7)²+5x=0 - Blueberries 2
Lenka and Martin collected eight liters of blueberries in two hours. How long will Lenka take to collect blueberries itself if we know that she collects all 2.5 hours less than Martin? - Euclid theorems
Calculate the sides of a right triangle if leg a = 6 cm and a section of the hypotenuse, which is located adjacent to the second leg b, is 5cm.
- A mast
The wind broke a mast 32 meters high so that its top touches the ground 16 meters from the pole. The still standing part of the mast, the broken part, and the ground form a rectangular triangle. At what height was the mast broken? - Hexagonal prism 2
The regular hexagonal prism has a surface of 140 cm² and a height of 5 cm. Calculate its volume. - Welcomed 3453
The product of two numbers is equal to their sum. One of the numbers is four times larger than the other. Find these numbers. They welcomed that none of them were equal to zero. - Roots count
Substitute the numbers 0,1,2,3 into the equation as x: (x - 1) (x - 3) (x + 1) = 0 Which of them is its solution? Is there another number that solves this equation? - Specify 3347
We have a number. If we divide its fourth power by its square, we get the number 0.25. Find this number.
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