construct a word problem on quadratic equation such that one of its answer is 20
Answers
The Word Problem will be :- In a given rectangle, the breadth of the rectangle is 2 cm longer than the length and given that the area of the rectangle = 440cm.
Find the length of the rectangle.
By taking the length of the rectangle as x cm, we will know that the breadth will be x + 2 cm.
Hence the equation will be :-
x(x+2) = 440.
=> x=20 cm.
Hence we get one of it's answer as 20 and other 22.
A word problem on quadratic equation :
"Product of my age 5 years before and my age after 5 years is 375"
Find the present age.
Step 1:
Assume that Present age = x year
Age 5 years before = x - 5 years
After after 5 years = x + 5 years
Step 2:
Product of my age 5 years before and my age after 5 years is 375
=> (x - 5)(x + 5) = 375
Step 3:
Solve for x
x² - 25 = 375
=> x² -400 = 0
(x + 20)(x - 20) = 0
x = ± 20
as Age can not be negative
Hence present age is 20 years
One of its roots is 20.
Quadratic Equation :
ax² + bx + c = 0 where a≠ 0
x² -400 = 0 is Quadratic Equation
a = 1 , b = 0 , c = - 400
A word problem on quadratic equation :
"Product of my age 5 years before and my age after 5 years is 375"
Find the present age.