# Reason + quadratic equation - math problems

#### Number of problems found: 43

• Root The root of the equation ? is (equal or greater or less than zero)? ?
• Variable Find variable P: PP plus P x P plus P = 160
• Two pipes How long will the pool be filled with a double supply pipe if it takes the pool to fill the first pipe by 4 hours longer and the second pipe 9 hours longer than both pipes open at the same time?
• Right Determine angles of the right triangle with the hypotenuse c and legs a, b, if: ?
• Party At the party everyone clink with everyone. Together, they clink 406 times. How many people were at the party?
• Secret number Determine the secret number n, which reversed decrease by 16.4 if the number increase by 16.4.
• Triangle ABC Triangle ABC has side lengths m-1, m-2, m-3. What has to be m to be triangle a) rectangular b) acute-angled?
• Integer sides A right triangle with an integer length of two sides has one leg √11 long. How much is its longest side?
• Wagons and cranes Several of the same cranes unloaded 96 wagons. If there were 2 more cranes there would be less 8 wagons for each crane. How many cranes were here?
• Circle Circle is given by centre on S[-7; 10] and maximum chord 13 long. How many intersect points have circle with the coordinate axes?
• 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.
• Prove Prove that k1 and k2 are the equations of two circles. Find the equation of the line that passes through the centers of these circles. k1: x2+y2+2x+4y+1=0 k2: x2+y2-8x+6y+9=0
• Pagans Jano and Michael ate pagans. Jano ate three more than Michael. The product of their counts (numbers) is 180. How many pagans did each of them eat?
• Four integers Fnd four consecutive integers so that the product of the first two is 70 times smaller than the product of the next two.
• Find two Find two consecutive natural numbers whose product is 1 larger than their sum. Searched numbers expressed by a fraction whose numerator is the difference between these numbers and the denominator is their sum.
• Right triangle eq2 Find the lengths of the sides and the angles in the right triangle. Given area S = 210 and perimeter o = 70.
• Three parallels The vertices of an equilateral triangle lie on 3 different parallel lines. The middle line is 5 m and 3 m distant from the end lines. Calculate the height of this triangle.
• Kohlrabies The price of one kohlrabi increased by € 0.40. The number of kohlrabies that a customer can buy for € 4 has thus decreased by 5. Find out the new price of one kohlrabi in euros.
• Do you solve this? Determine area S of rectangle and length of its sides if its perimeter is 102 cm.

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