Math, asked by kkshukla0202, 11 days ago

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.)​

Answers

Answered by amitnrw
2

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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