Quadratic Equations Problems - page 22 of 30
Number of problems found: 584
- Polynomial coefficients
Find all triplets P (x) = a * x² + b * x + c with the integer coefficients a, b, and c to which it applies P (1) - Triangle arm
There is an isosceles triangle with a circumference of 36 cm, and the height at the base is 12 cm long. Calculate the length of the arm of a given triangle. - Concentration - salt solution
We added 300 g of water to 400 g of salt solution, reducing the solution's concentration by 5%. How much water did the original solution contain, and what was its concentration? - Plane and helicopter
From two airports, a plane and a helicopter took off at the same time. The helicopter was flying to the airport from which the plane took off, the plane to the airport from which the helicopter took off. When they passed each other, the helicopter had flo - Two trucks
Two trucks left cities A and B against each other and met after an hour. The first car came to B 27 minutes later than the second car to A. Calculate the car speed if the distance between cities A and B is 90 km. - Fraction equation
Calculate x: (x-1) over (x-2) + (x-2) over (x-4) = 4 - Combinations
If the number of elements increases by 3, it increases the number of combinations of the second class of these elements five times. How many are the elements? - Rectangle pool
Find the dimensions of an open pool with a square bottom and a capacity of 32 m³ that can have painted/bricked walls with the least amount of material. - 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. - Variation equation
Solve combinatorics equation: V(2, x+8)=72 V(2,x+8) is variations, second class, from x+8 items. - Variation equation
Solve the equation: V (2, x + 2) = 90 - Rectangle diagonals
It is given a rectangle with an area of 24 cm² and a circumference of 20 cm. The length of one side is 2 cm larger than the length of the second side. Calculate the length of the diagonal. Length and width are yet expressed in natural numbers. - Scooter income
How many electronic scooters should the manufacturer sell to maximize their income if the income function is given by the equation TR (Q) = -4Q2 + 1280 Q + 350? - Paper box
The hard rectangular paper has dimensions of 60 cm and 28 cm. We cut off the corners into equal squares, and the residue was bent to form an open box. How long must the largest volume of the box be beside the squares? - Work together
Michael 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 Michael. Determine when Dorota will do the work herself and when Michael will 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 a ball that rolled into a pool and floated on the water. Its highest point was 2 cm above the surface. The diameter of the circle where the ball met the water surface was 8 cm. Find the diameter of John's ball. - Quadratic equation Find the roots of the quadratic equation: 3x²-4x + (-4) = 0.
- Rational equation
x-2 / x-1 -2 = x + 1 / x-2 - Cyclist trajectory
The seat of the bicycle is 1.2 m high. The cyclist weighs 82 kg, is going down a 15% hill at a speed of 50 km/h, and hits a curb 20 cm high at an angle of 45 degrees. How far from the center of the front wheel's axis is the cyclist thrown? We are assuming
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