Quadratic equation + square (second power, quadratic) - practice problems
Number of problems found: 292
- A rectangle 15
A rectangle is 5 cm longer its width. It areas is 6 cm square. What are the dimensions of the rectangle. - A field
A field is in the shape of a trapezium whose parallel sides are 25 m and 10 m and the non parallel sides are 14 m and 13 m. Find the area of the field. - The sum 51
The sum of two numbers is 100 and difference is 37 . Find the difference between their squares. - Square lawn
A square lawn has a 2 m wide path surrounding it. If the area of the path is 136 square meters, find the area of the lawn.
- Difference of squares If the difference between two numbers is 3 and the difference of their squares is 39, then find the larger number.
- The Product 16
The Product of two numbers is 96, and their quotient is 6. Find the numbers. - A boat 3
A boat takes 1 hour longer to go 36 km up a river than to return. If the river flows at 3 km/h, find the rate at which the boat travels in still water. - 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! - 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.
- 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.
- 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? - 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. - Suppose 10 Suppose 4+7i is a solution of 5z²+Az+B=0, where A, B∈R. Find A and B.
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