Quadratic Equations Problems - page 24 of 30
Number of problems found: 584
- Hexagonal prism 2
The regular hexagonal prism has a surface of 140 cm² and a height of 5 cm. Calculate its volume. - Product equals sum
The product of two numbers equals their sum. One number is four times the other. Find these numbers, given that neither equals zero. - The gardener
The gardener bought trees for 960 CZK. If every tree were cheaper by 12 CZK, he would have gotten four more trees for the same money. How many trees did he buy? - RT perimeter
The leg of the rectangular triangle is 7 cm shorter than the second leg and 8 cm shorter than the hypotenuse. Calculate the triangle circumference. - 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? - Apples
A 2 kg of apples cost a certain sum of money. This sum equals the number of kilograms for which we pay 72 CZK. How much is 1 kg of apples? - Number power
We have a number. If we divide its fourth power by its square, we get the number 0.25. Find this number. - Geometric sequence
A1 + a3 = 15 a1 + a2 + a3 = 21 Calculate a1 and q (quotient of the geometric sequence). - Positive number
Which positive number equals twice its square? - Rectangle dimensions
The rectangle is 6 cm longer than the width. A square with a side equal to the length of the rectangle has an area of 78 cm² larger than the rectangle. Calculate the dimensions of the rectangle. - Rectangle vs square
One side of the rectangle is 1 cm shorter than the side of the square. The second side is 3 cm longer than the side of the square. The square and rectangle have the same area. Calculate the length of the sides of a square and a rectangle. - Number difference The difference between the two numbers is 82. The first number is eight, less than the square of the second number. Specify these numbers.
- Combinations
From how many elements can we create 990 combinations, 2nd class, without repeating? - Grandchildren ages
When asked: "How old are your two grandchildren?" the grandfather answers: "If I add their sum to the product of their ages, I get 14." How old are the grandfather's grandchildren? Consider only whole years. - Number equality
Fill in the boxes with the same numbers so that equality applies: 550:? =? x 22 - Centimeters - block
The surface of the block is 4596 square centimeters. Its sides are in a ratio of 2:5:4. Calculate the volume of this block. - Trapezium
The length of the base and the height size of the trapezium base are at a ratio of 5:3:2. The trapezium area is 128 cm². Calculate the length of the base and the height of the trapezoid. - Stadium
A domed stadium is shaped like a spherical segment with a base radius of 150 m. The dome must contain a volume of 3500000 m³. Determine the dome's height at its center to the nearest tenth of a meter. - Arc-sector
arc length = 17 cm area of sector = 55 cm² arc angle = ? the radius of the sector = ? - Substitute a number
I think the number is when you substitute it in the expression (x-2). (2x - 1), you get zero. What number can it be?
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