Quadratic Equations Problems - page 25 of 31
Number of problems found: 604
- 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
To the question: How old are your two grandchildren? The grandfather answers: if I add their sum to the product of the numbers that determine their age, I get 14. How many years have grandfather's grandchildren? Think only for 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? - Two pipes
One pipe fills one-fifth of the volume 20 minutes before my second one. The two pipes together will fill the tank in two hours. How long will each pipe fill the tank separately? - Square
The square's side length decreases by 25%, and its area is now 28 cm22 lower. Find the side of the original square. - Semicircle
To a semicircle with a diameter of 10 cm, inscribe a square. What is the length of the square sides? - Cinema 4
In the cinema, there are 1656 seats; in the last row, there are 105 seats; in each next row, there are 3 fewer seats. How many are the total rows in the cinema? - Quadratic function 2
Which of the points belong to function f:y= 2x²- 3x + 1 : A(-2, 15) B (3,10) C (1,4) - Quadratic function
Write the equation of the quadratic function, which includes points A (-1, 10), B (2, 19), C (1,4)
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