Quadratic Equations Problems - page 3 of 30
Number of problems found: 584
- General right triangle
In a right triangle, if a =x+34 and b = x and c= 50, then solve for x. Side c is a hypotenuse. Then discuss the case when a or b is a hypotenuse. - A group
A group of young men decides to raise ksh 480,000 to start a business. Before the actual payment was made, four members pulled out, and each of the remaining had to pay an additional ksh 20,000. Determine the original number of members. - Peter 16
Peter travels to his uncle's home, 30 km away from his place. He cycles for 2/3 of the journey before the cycle develops a mechanical problem, and he has to push it for the rest of the journey. If he is cycling 10 km per hour faster than his walking speed - The factory 3
The factory is 18 km away from the city. A cyclist leaves the factory for the city, and half an hour after him from the same place, a motorcyclist arrives 6 minutes before the cyclist in the city. Find the speed of each, knowing that the speed of the cycl - Suppose 10
Suppose 4+7i is a solution of 5z²+Az+B=0, where A, B∈R. Find A and B. - EQ2 - roots Find the equation whose roots are the two numbers 8 and 10?
- Fraction or irrational If you double 1/4 of a certain fraction and multiply it by that fraction, the answer is 1. What is the fraction?
- Decimal numbers When two decimal numbers are multiplied, the answer is 0.072. When the same two decimal numbers are added, the answer is 0.72. What are the two decimal numbers?
- Find all 2
Find all the complex solutions (write the answer in the form x+iy) of the system. {|z-12|/|z-8i|=5/3 ; |z-4|=|z-8| - The area 3
The area of a rectangle is given by the expression 4x² + 5x -6. What is the length of the rectangle if its width is x+2? - How many 147
What is the minimum number of consecutive natural numbers from 1 to n that must be added so that their sum exceeds 1,000,000? - Calculate the cylinder
Calculate the volume of a cylinder, given: S = 144π cm² height = 6 cm - GP - free
For a geometric sequence, the following relationship between the first and third terms holds: a₁ − a₃ = −1.5 a₃ − a₁ = 1.5 Calculate the common ratio q and the first term a₁. - Equality of Moments
A lever with a mass of 3 kg and a length of 2 m has weights of 5 kg and 8 kg attached at its two ends. Find the point where the lever must be supported so that it is in balance. - Equation - integers Solve the equation for the unknown x from the set of natural numbers: 1 + 6 + 11 + 16 + … + x = 970
- Three numbers
The product of three natural numbers is 600. If one factor is reduced by 10, the product decreases by 400. If another factor is increased by 5 instead, the product doubles. Which three numbers have this property? - Segments on the hypotenuse
A right triangle ABC has a hypotenuse c = 26 cm. The altitude from C to the hypotenuse is h_c = 12 cm. What are the lengths of the two segments of the hypotenuse? What are the lengths of sides a and b? What are the angles at vertices A and B? - Determine 23
Determine in cm² the area of rectangle ABCD, whose longer side is a = 20 cm and whose diagonal is 10 cm longer than its shorter side. - Semicircles
In a rectangle with sides of 4 cm and 8 cm, there are two different semicircles, each with its endpoints at adjacent vertices and touching the opposite side. Construct a square such that two of its vertices lie on one semicircle, the other two vertices li - Rhombus - ratio
In a rhombus, the ratio of a side to the height drawn to that side is 4:1, and its area is 49 cm². Calculate the length of the side and the height drawn to that side.
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