System of equations + quadratic equation - math problems

Number of problems found: 84

  • Non linear eqs
    q2_non_linear Solve the system of non-linear equations: 3x2-3x-y=-2 -6x2-x-y=-7
  • Quadratic function
    parabola Write the equation of the quadratic function, which includes points A (-1, 10), B (2, 19), C (1,4)
  • Hyperbola equation
    hyperbola Find the hyperbola equation with the center of S [0; 0], passing through the points: A [5; 3] B [8; -10]
  • Parabola 3
    parabola Find the equation of a parabola with its focus at (0,2) and its vertex at the origin. ?
  • The sum
    eq222 The sum of the squares of two immediately following natural numbers is 1201. Find these numbers.
  • Touch x-axis
    touch_circle Find the equations of circles that pass through points A (-2; 4) and B (0; 2) and touch the x-axis.
  • Sphere from tree points
    sphere2 Equation of sphere with three point (a,0,0), (0, a,0), (0,0, a) and center lies on plane x+y+z=a
  • Time gone
    family The Square of Richard's age equals the age of his mother. When he is two times older than his mom will be 7/2 times older than he. How old are Richard and his mom?
  • Right triangle
    righttriangle 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.
  • Rectangle SS
    rectangle Perimeter of a rectangle is 268 cm and its diagonal is 99.3 cm. Determine the dimensions of the rectangle.
  • Two grandmothers
    chicken Two grandmothers went to sell eggs at the market, and they had a total of 100. When they sold all the eggs, they made the same money. The first grandmother says to the second: "If I sold my eggs for your price, I would earn 15 crowns. " The other grandmot
  • Intersections 3
    intersect_circles Find the intersections of the circles x2 + y2 + 6 x - 10 y + 9 = 0 and x2 + y2 + 18 x + 4 y + 21 = 0
  • GP - three members
    progression_ao The second and third of a geometric progression are 24 and 12(c+1), respectively, given that the sum of the first three terms of progression is 76. determine the value of c.
  • Geometric seq
    eq222 Find the third member of geometric progression if a1 + a2 = 36 and a1 + a3 = 90. Calculate its quotient.
  • Two resistors
    two_resistors Two resistors when they give 25 ohms in series and 4 ohms in parallel what the values of
  • Sequence
    Quadratic_equation In the arithmetic sequence is given: Sn=2304, d=2, an=95 Calculate a1 and n.
  • Sum-log
    complex_log The sum of two numbers is 32, the sum of their logarithms (base 10) is 2.2. Determine these numbers.
  • Friends
    friends2 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?
  • Cuboid
    cuboid Cuboid with edge a=6 cm and space diagonal u=31 cm has volume V=900 cm3. Calculate the length of the other edges.
  • Sequences AP + GP
    seq_sum The three numbers that make up the arithmetic sequence have the sum of 30. If we subtract from the first 5, from the second 4 and keep the third, we get the geometric sequence. Find AP and GP members.

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