Quadratic Equation
Quadratic Equation:
Quadratic equations have many applications in the arts and sciences, business, economics, medicine and engineering. Quadratic Equation is a second-order polynomial equation in a single variable x.
A general quadratic equation is: ax2 + bx + c = 0,
Where,
x is an unknown variable a, b, and c are constants (Not equal to zero)
Special Forms: * x² = n if n < 0, then x has no real value * x² = n if n > 0, then x = ± n * ax² + bx = 0 x = 0, x = -b/a
WAYS TO SOLVE QUADRATIC EQUATION
The ways through which quadratic equation can be solved are: * Factorizing * Completing the square * Derivation of the quadratic formula * Graphing for real roots
Quadratic Formula:
Completing the square can be used to derive a general formula for solving quadratic equations, the quadratic formula. The quadratic formula is in these two forms separately:
Steps to derive the quadratic formula:
All Quadratic Equations have the general form, aX² + bX + c = 0
The steps to derive quadratic formula are as follows:
Quadratic equations and functions are very important in business mathematics. Questions related to quadratic equations and functions cover a wide range of business concepts that includes COST-REVENUE, BREAKEVEN ANALYSIS, SUPPLY/DEMAND & MARKET EQUILIBRIUM.
Application of Quadratic formula in Business Mathematics: * Example #1:
A certain negative number added to the square of the number, the result is 3.75, what is the number? What is the positive number that fulfils this condition?
Solution: Let x be a negative number By the given condition
Let a = 1, b=1 and c = 3.75 Using the Quadratic Formula, we have
, ,
Hence, negative
Quadratic equations have many applications in the arts and sciences, business, economics, medicine and engineering. Quadratic Equation is a second-order polynomial equation in a single variable x.
A general quadratic equation is: ax2 + bx + c = 0,
Where,
x is an unknown variable a, b, and c are constants (Not equal to zero)
Special Forms: * x² = n if n < 0, then x has no real value * x² = n if n > 0, then x = ± n * ax² + bx = 0 x = 0, x = -b/a
WAYS TO SOLVE QUADRATIC EQUATION
The ways through which quadratic equation can be solved are: * Factorizing * Completing the square * Derivation of the quadratic formula * Graphing for real roots
Quadratic Formula:
Completing the square can be used to derive a general formula for solving quadratic equations, the quadratic formula. The quadratic formula is in these two forms separately:
Steps to derive the quadratic formula:
All Quadratic Equations have the general form, aX² + bX + c = 0
The steps to derive quadratic formula are as follows:
Quadratic equations and functions are very important in business mathematics. Questions related to quadratic equations and functions cover a wide range of business concepts that includes COST-REVENUE, BREAKEVEN ANALYSIS, SUPPLY/DEMAND & MARKET EQUILIBRIUM.
Application of Quadratic formula in Business Mathematics: * Example #1:
A certain negative number added to the square of the number, the result is 3.75, what is the number? What is the positive number that fulfils this condition?
Solution: Let x be a negative number By the given condition
Let a = 1, b=1 and c = 3.75 Using the Quadratic Formula, we have
, ,
Hence, negative