# Quadratic equation + system of equations - math problems

#### Number of problems found: 82

- Quadratic function

Write the equation of the quadratic function which includes points A (-1, 10), B (2, 19), C (1,4) - Non linear eqs

Solve the system of non-linear equations: 3x^{2}-3x-y=-2 -6x^{2}-x-y=-7 - Hyperbola equation

Find the hyperbola equation with the center of S [0; 0], passing through the points: A [5; 3] B [8; -10] - The sum

The sum of the squares of two immediately following natural numbers is 1201. Find these numbers. - Parabola 3

Find the equation of a parabola with its focus at (0,2) and its vertex at the origin. ? - Rectangle SS

Perimeter of a rectangle is 268 cm and its diagonal is 99.3 cm. Determine the dimensions of the rectangle. - Touch x-axis

Find the equations of circles that pass through points A (-2; 4) and B (0; 2) and touch the x-axis. - Right triangle

Legs of the right triangle are in the ratio a:b = 2:8. The hypotenuse has a length of 87 cm. Calculate the perimeter and area of the triangle. - Sequence

In the arithmetic sequence is given: S_{n}=2304, d=2, a_{n}=95 Calculate a_{1}and n. - Geometric seq

Find the third member of geometric progression if a1 + a2 = 36 and a1 + a3 = 90. Calculate its quotient. - Cuboid

Cuboid with edge a=6 cm and space diagonal u=31 cm has volume V=900 cm^{3}. Calculate the length of the other edges. - Time gone

Square of Richard age equals the age of his mother. When he will be two times older than his mom will be 7/2 times older than he. How old is Richard and his mom? - Two resistors

Two resistors when they give 25 ohms in series and 4 ohms in parallel what the values of - Circle

Write the equation of a circle that passes through the point [0,6] and touch the X-axis point [5,0]: ? - Garden

The garden has a rectangular shape and has a circumference of 130 m and area 800.25 m^{2}. Calculate the dimensions of the garden. - Sum-log

The sum of two numbers is 32, the sum of their logarithms (base 10) is 2.2. Determine these numbers. - RT - hypotenuse and altitude

Right triangle BTG has hypotenuse g=117 m and altitude to g is 54 m. How long are hypotenuse segments? - Friends

Some friends had to collect the sum 72 EUR equally. If the three refused their part, others would have to give each 4 euros more. How many are friends? - Difference of two number

The difference of two numbers is 20. They are positive integers greater than zero. The first number raised to one-half equals the second number. Determine the two numbers. - The sides

The sides of a right triangle form an arithmetic sequence. The hypotenuse is 24 cm long. Determine the remaining sides of the triangle.

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