Quadratic Equations Problems - page 2 of 30
Number of problems found: 597
- Three Numbers GP
The sum of three Numbers in geometric progression (GP) is 38, and their product is 1728. Find the Numbers. - The library
A certain number of people agreed to contribute equally to buy books worth $12000 for a school library. Five people pulled out, so others agreed to contribute an extra $100 each. Their contribution enabled them to buy books worth $ 2000 more than they ori - Mean proportional
If x+7 is the mean proportional between (x+3) and (x+12), find the value of x . - The length 19
The length and the width of a rectangle are (x+2) and (x-3). If it area is 24cm², what are its dimensions? - Number 77
Find a number which is as much greater than 31 as it is less than 77. Many failed to do it! - The sum 48
The sum of a number and its reciprocal is 5.2. Find the number. - A positive A positive number plus itself squared is 240. What is the number? Please show your work.
- The sum 47
The sum of 3 numbers in an arithmetic progression (AP) is 15. If 1,4,19 are to be added to the above numbers respectively, it formed a geometric progression (GP). Find the numbers. - The hypotenuse
The hypotenuse of a right-angled triangle is 20 meters. If the difference between the lengths of the other sides is 4 meters, find the other sides. - An equilateral triangle 2
If the sides of an equilateral triangle are increased by 2 meters, the area is increased by 7√3 square meters. Find the length of the side. - Sum of squares The product of two numbers is 12. If the sum of their squares is 40, find the numbers.
- The sum of squares
The sum of the squares of two numbers is 233, and one of the numbers is 3, less than twice the other. Find the numbers. - The difference 7 The difference between a proper fraction and its reciprocal is 7/12. Find the fraction.
- Bad weather
An aircraft was slowed down during a 600 km flight due to bad weather. Its average speed was reduced by 200 km/hr from its usual speed, and the flight time increased by 30 minutes. Find the scheduled duration of the flight. - A right 3
A right triangle has a perimeter of 300 cm . its hypotenuse is 130cm. What are the lengths of the other sides .
- Twice squared
If the square of twice a number is 81, what is the number? Give a positive number x. - Properties of eq2 roots
If p and q are the zeroes of the quadratic polynomial f(x) = 2x2 - 7x + 3, find the value of p + q - pq. - Evaluate 37
Evaluate the function K(x) = 2x²+3x-2 what is the value of K(½) - Fredrik Fredrik knows that x² + ax + b = 0 has only one solution, and this is x1 = - 3/2 Find the values of a and b.
- Width and length
For a particular rectangle, twice the width is 1 meter longer than the length. The area of the rectangle is 153 square meters. What is the perimeter of the rectangle?
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