Quadratic Equations Problems - page 21 of 30
Number of problems found: 584
- Equation with fraction
Solve the equation in quotient form: 6x * (3x-2) / x + 7 = 0 - Diamond diagonals
Calculate the diamond's diagonal lengths if its area is 156 cm² and the side length is 13 cm. - Function domains
Specify function domains: a / y = 2x-1 b / y = 5x / (2x + 1) c / y = x² / (x²-9) - Cylinder surface
The area of the rotating cylinder shell is half the area of its surface. Calculate the surface of the cylinder if you know that the diagonal of the axial section is 5 cm. - Fraction equation Solve the equation: 1/c - 3/(2c) = 3/4
- Quadratic inequation If 5x + x² > 100, then x is not
- Trapezoid 15
The area of a trapezoid is 266. What is the value of x if the bases are b₁ = 2x − 3 and b₂ = 2x + 1, and the height is h = x + 4? - System 2xy
Solve the system: (x + 5) (y-2) = (x-1) (y + 1) (x + 1) (y + 1) = (x + 5) (y-1) - Elements
If the number of elements is decreased by two, the number of permutations is decreased 30 times. How many elements are? - Rectangle
The rectangle has a perimeter of 75 cm. The diagonal length is 32.5 cm. Determine the length of the sides. - Trapezium
The lengths of parallel sides of a trapezium are (2x+3) and (x+8), and the distance between them is (x+4). If the area of the trapezium is 590, find the value of x. - Worker time
Two workers completed the work in 12 days. If the other worked ten days longer than the first, how long would everyone work alone? - Lucky number
Philip multiplied the number 4 twice in a row by his lucky number. He added 4 to the result and got a result of 200. What is Filip's lucky number? - Combinations
How many elements can form six times more combinations of the fourth class than the combination of the second class? - Triangle ABC v2
The area of the triangle is 12 cm². Angle ACB = 30º , AC = (x + 2) cm, BC = x cm. Calculate the value of x. - Cuboid and eq2
Calculate the volume of a cuboid with a square base and a height of 6 cm if its total surface area is 48 cm². - Body diagonal The cuboid has a volume of 32 cm³. Its side surface area is double that of one of the square bases. What is the length of the body diagonal?
- Time gone
The Square of Richard's age equals the age of his mother. When he is two times older, his mom will be seven times older than him. Thus, Richard and his mom are seven times older. - Right triangle eq2
The hypotenuse of a right triangle is 9 cm longer than one leg and 8 cm longer than the other leg. Determine the perimeter and area of the triangle. - Largest number n Find the largest natural number d that has that property for any natural number n; the number V(n) is the value of the expression: V (n) = n ^ 4 + 11n²−12 is divisible by d.
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