How is quadratic formula used in everyday life?
Your company is going to make frames as part of a new product they are launching.
The frame will be cut out of a piece of steel, and to keep the weight down, the final area should be
The inside of the frame has to be 11 cm by 6 cm
What should the width x of the metal be?
Area of steel before cutting:
Area of steel after cutting out the 11 × 6 middle:
Let us solve this one graphically!
Here is the graph of 4x2 + 34x :
The desired area of 28 is shown as a horizontal line.
The area equals 28 cm2 when:
x is about -9.3 or 0.8
The negative value of x make no sense, so the answer is:
x = 0.8 cm (approx.)
You can try it out yourself and find the roots of the quadratic equation using the quadratic formula
There are many more examples at http://www.mathsisfun.com/algebra/quadratic-equation-real-world.html