Create your own real life problem that will lead to forming quadratic equation. Provide illustration of the problem and guide questions that will end in forming quadratic equation in standard form.
Answers
Step-by-step explanation:
quadratic equation is an equation of the second degree, meaning it contains at least one term that is squared. The standard form is ax² + bx + c = 0 with a, b, and c being constants, or numerical coefficients, and x is an unknown variable.
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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