Equation + square (second power, quadratic) - practice problems - page 11 of 21
Number of problems found: 414
- Completing square
Solve the quadratic equation: m2=4m+20 using completing the square method - Divisors 7779
Two numbers are guessing. The second number is five times greater than the first number, and the square of the first number is equal to 3/5 of the second number. Find the sum of the two numbers and all its divisors. - Rectangle 7768
The base of a cuboid is a rectangle. The ratio of its length to width is 3:2. The length of the rectangle of the base is in the ratio of 4:5 to the height of the block. The sum of the lengths of all the edges of the block is 2.8m. Find: a) the surface of - Circumference 7687
If we increase the length of the side of the square by one-third, the circumference of the square will increase by 18 cm. Calculate the length of the side of the square.
- Calculate 7653
The block volume is 900cm3, and the surface is 600cm². The area of one wall is 60cm². Calculate the length of edges a, b, and c. - Two pipes
How long will the pool be filled with a double supply pipe if it takes the pool to fill the first pipe by 4 hours long and the second pipe 9 hours longer than both pipes open simultaneously? - Temperature 7595
Colorless liquid weighing m = 200 g is heated with constant stirring on a stove with power input P0 = 600W. 80% of the supplied energy is used to heat the liquid. Selected measured values of liquid temperature as a function of time are recorded in the t - Calculate 7580
The isosceles triangle XYZ has a base of z = 10 cm. The angle to the base is the sum of the angles at the base. Calculate the area of the triangle XYZ. - Diamond diagonals
Find the diamond diagonal's lengths if the area is 156 cm² and the side is 13 cm long.
- Substitution method
Solve a goniometric equation: sin4 θ - 1/cos² θ=cos² θ - 2 - Diagonals of the rhombus
How long are the diagonals e, and f in the diamond if its side is 5 cm long and its area is 20 cm²? - Solve 3
Solve a quadratic equation: (6n+1) (4n-1) = 3n² - Square sides
If the square side increases by 28%, the square circumference increases by 11.2 meters. Find the length of the original square side. - Non linear eqs
Solve the system of non-linear equations: 3x²-3x-y=-2 -6x²-x-y=-7
- Confectionery 7318
The confectioner needs to carve a cone-shaped decoration from a ball-shaped confectionery mass with a radius of 25 cm. Find the radius of the base of the ornament a (and the height h). He uses as much material as possible is used to make the ornament. - Six-fourteenths 7295
Seven twelfth windows in the castle are in the shape of an n-gon. Six-fourteenths of these windows are quadrangular in shape, while two-ninths of them are square windows. How many windows are there in the castle if there are 15 square windows? - On line
On line p: x = 4 + t, y = 3 + 2t, t is R, find point C, which has the same distance from points A [1,2] and B [-1,0]. - Axial symmetry
Find the image A' of point A [1,2] in axial symmetry with the axis p: x = -1 + 3t, y = -2 + t (t = are real number) - Acceleration 7124
The train passes 700m, braking with an acceleration of -0.15 m / s². How long does it break, and what is the final speed of the train if the initial was 55 km / h?
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