How will you formulate quadratic equation as illustrated in real-life situation?
Answers
Answer:
Quadratic equations are actually used in everyday life, as when calculating areas, determining a product's profit or formulating the speed of an object. Quadratic equations refer to equations with at least one squared variable, with the most standard form being ax² + bx + c = 0.
Step-by-step explanation:
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Given : own real life problem that will lead to forming quadratic equation.
To Find : Formulate quadratic equation
Solution:
Product of my age 5 years before and my age after 5 years is 200
Find the present age.
Assume that Present age = x year
Age 5 years before = x - 5 years
After after 5 years = x + 5 years
Product of my age 5 years before and my age after 5 years is 200
=> (x - 5)(x + 5) = 200
=> x² - 25 = 200
=> x² -225 = 0
Quadratic Equation :
ax² + bx + c = 0 where a≠ 0
x² -225 = 0 is Quadratic Equation
a = 1 , b = 0 , c = - 225
x² -225 = 0
(x + 15)(x - 15) = 0
x = ± 15
as Age can not be negative
Hence present age is 15 years
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