Quadratic equation + square (second power, quadratic) - practice problems - page 13 of 14
Number of problems found: 263
- Similarity
The area of the regular 10-gon is 563 cm². The area of similar 10-gon is 606 dm². What is the coefficient of similarity? - Coins
Edmund had saved a certain number of 2-euro coins. He placed the coins in a single layer in a square. He has 6 coins left. When he wanted to build a square that would have one more row, he was missing 35 coins. How many euros does he have? - Short cut
Imagine that you are going to a friend. That path has a length 120 meters. Then turn doprava and go other 630 meters, and you are at a friend's. The question is, how much will the journey be shorter if you go direct across the field? - Rectangular cuboid
The rectangular cuboid has a surface area 5447 cm², and its dimensions are in the ratio 2:4:1. Find the volume of this rectangular cuboid.
- Circle
From the equation of a circle: -x² -y² +16x -4y -59 = 0 Calculate the coordinates of the center of the circle S[x0, y0] and the radius of the circle r. - Trapezoid MO
The rectangular trapezoid ABCD with the right angle at point B, |AC| = 12, |CD| = 8, diagonals are perpendicular to each other. Calculate the perimeter and area of the trapezoid. - 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. - Cubes
Surfaces of cubes, one of which has an edge of 48 cm shorter than the other, differ by 36288 dm². Determine the length of the edges of these cubes. - Pool
If water flows into the pool by two inlets, fill the whole for 20 hours. The first inlet filled the pool 8 hour longer than the second. How long does the pool take to fill with two inlets separately?
- Factors
Can the expression 4x ² -47.6x +39.6 be factored into rational factors? - Equation
Equation f(x) = 0 has roots x1 = 64, x2 = 100, x3 = 25, x4 = 49. How many roots have equation f(x²) = 0? - Product
The product of two consecutive odd numbers is 8463. What are these numbers? - Roots
Find the quadratic equation absolute coefficient q, that the equation has a real double root and the root x calculate: 5x ² +9x + q = 0 - Biquadratic
By introducing a new variable, solve the biquadratic equation: - x 4 +277 x² -15876=0
- Quadratic equation
Determine the numbers b and c that the numbers x1 = -7 and x2 = 5 were roots of the quadratic equation: -3x ² + b x + c = 0 - Special cube
Calculate the cube's edge if its surface and volume are numerically equal numbers. - Rectangle SS
The perimeter of a rectangle is 268 cm, and its diagonal is 99.3 cm. Determine the dimensions of the rectangle. - Quadratic equation
Quadratic equation 7x²+bx+c=0 has roots x1 = 67 and x2 = -84. Calculate the coefficients b and c. - Right triangle
The 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.
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