Construct a word problem on quadratic equation such that one of its roots is 15. Also solve your word problem. (You can use words such as age, meters, speed, rupees, etc.)
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A word problem on quadratic equation :
"Product of my age 5 years before and my age after 5 years is 200"
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 200
=> (x - 5)(x + 5) = 200
Step 3:
Solve for x
x² - 25 = 200
=> x² -225 = 0
(x + 15)(x - 15) = 0
x = ± 15
as Age can not be negative
Hence present age is 15 years
One of its roots is 15.
Quadratic Equation :
ax² + bx + c = 0 where a≠ 0
x² -225 = 0 is Quadratic Equation
a = 1 , b = 0 , c = - 225
x² -225 = 0
A word problem on quadratic equation :
"Product of my age 5 years before and my age after 5 years is 200"
Find the present age.
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