Quadratic Equations Problems - page 15 of 30
Number of problems found: 584
- Loan 5
Abdul takes a loan of 200000 from Ali and agrees to repay in several installments. Each installment begins with the 2nd, exceeding the previous one by 1000. If the first installment is 500, find how many installments will be necessary to be wiped out of t - Constructed triangle
The perimeter of the right triangle is 18 cm. The sum of the areas of the squares constructed above its three sides is 128 cm². What is the area of the triangle? - Find parameters
Find parameters of the circle in the plane - coordinates of center and radius: x²+(y-3)²=14 - 3rd dimension
The block has a surface of 42 dm2, and its dimensions are 3 dm and 2 dm. What is the third dimension? - Rectangle Square Area Difference
In the given rectangle, the length is 12 m greater than the width. We get a square if we reduce the length by 10 m and increase the width by 2 m. The area of the original rectangle is 300 m² more than the area of the square. Determine the dimensions of th - Balance Scales Immersed Bodies
At the end of one arm of the equilibrium scales, which are in equilibrium, a lead body with a volume V1 is suspended in the air. At the end of the other arm is an aluminum body with a volume of V2. The balance arms have sizes l1 and l2, lead density h1 = - The pool - optimization
A block-shaped pool with a volume of 200 m³ is to be built in the recreation area. Its length should be 4 times the width, while the price of 1 m² of the pool bottom is 2 times cheaper than 1 m² of the pool wall. What dimensions must the pool have to make - Hyperbola equation
Find the hyperbola equation with the center of S [0; 0], passing through the points: A [5; 3] B [8; -10] - Rectangle
There is a rectangle with a length of 12 cm and a diagonal 8 cm longer than the width. Calculate the area of a rectangle. - Cone Volume Surface Height
In the rotating cone = 100π S rotating cone = 90π v =? r =? - Isosceles Trapezoid Sides Angle
ABCD isosceles trapezoid. A = 6 cm, e = 7 cm and delta angle = 105 °. Calculate the remaining pages. - Parallelogram
The sides of the parallelogram are 8 cm and 6 cm long, and the diagonals' angle is 60°. What is its area? - Completing square
Solve the quadratic equation: m²=4 m+20 using completing the square method. - Rectangle Garden Area Diagonals
The length of the sides of the rectangular garden is 4:3. The line segment connecting the midpoints of adjacent sides is 20 m long. Calculate the area of the garden. - Two Numbers Square Relation
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. - Rectangular triangle
The lengths of the rectangular triangle sides with a longer leg of 12 cm form an arithmetic sequence. What is the area of the triangle? - Two Typists Pages Written
The two typists wrote a total of 65 pages; although the first typed for an hour longer than the second, but typed 5 pages less; the second types 2 more pages per hour than the first. How many pages per hour does each typist write? - Two cyclists 2
At the same time, two cyclists left towns A and B at constant speeds. The first one goes from town A to town B, and the second one from town B to town A. At one point during the trip, they met. After they met, the first cyclist arrived at town B in 36 min - Block Edges from Volume
The block volume is 900 cm3, and the surface is 600 cm². The area of one wall is 60 cm². Calculate the length of edges a, b, and c. - Two pipes
How long will it take to fill the pool using both supply pipes if the first pipe alone fills it in 4 hours and the second pipe takes 9 hours longer than both pipes running together?
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