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Suppose the revenue equation is of the form R = ax2 + bx + c where a, b and c are constants and x is the variable.
To have a maximum, either a must be negative or x must lie within fixed limits.
If a is negative then the maximum revenue is attained when x = -b/(2a). That is, find the value of R when x = -b/(2a).
If a is positive, then find the value of R when x is at each end point of its domain. One of them will be larger and that is the maximum value of the revenue.
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What are the best on-line calculators for solving quadratic equations by using the quadratic formula?
Trywww.mathsisfun.com/quadratic-equation-solver.html
Can Quadratic equations that can be solved using the quadratic formula also be solved by factoring?
Yes, however not all quadratic equations can easily be solved by factoring, sometimes you can factor and sometimes it is easier to use the quadratic formula. Example: x2 + 4x + 4 This can be easily factored to (x + 2)(x +2) Therefore the answer is -2 by setting x +2 = 0 and solving for x This can be done using the quadratic equation and you would get the same results, however, it was much faster to factor instead.
What is x2-8x plus 12 equals 0 using quadratic equations?
( x - 2)( x - 6) = 0 x = 2 or x = 6
Solve this quadratic equation using the quadratic formula?
For any quadratic ax2 + bx + c = 0 we can find x by using the quadratic formulae: the quadratic formula is... [-b +- sqrt(b2 - 4(a)(c)) ] / 2a
What are the advantages in using completing the square for solving quadratic equations?
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What are the best on-line calculators for solving quadratic equations by using the quadratic formula?
Trywww.mathsisfun.com/quadratic-equation-solver.html
What form is the solving for the roots of quadratic equations?
Using the quadratic equation formula or completing the square
What are the 4 quadratic equations?
actoring, using the square roots, completing the square and the quadratic formula.
What is the quadratic formula used for today?
The quadratic formula is used today to find the solutions to quadratic equations, which are equations of the form ax^2 + bx + c = 0. By using the quadratic formula, we can determine the values of x that satisfy the quadratic equation and represent the points where the graph of the equation intersects the x-axis.
What is a disadvantage to using equations?
Equations using multiple variables, or powers of variables, may not provide a simple numerical value for a given variable. Equations that are solvable using the quadratic formula may result in two values.
Can Quadratic equations that can be solved using the quadratic formula also be solved by factoring?
Yes, however not all quadratic equations can easily be solved by factoring, sometimes you can factor and sometimes it is easier to use the quadratic formula. Example: x2 + 4x + 4 This can be easily factored to (x + 2)(x +2) Therefore the answer is -2 by setting x +2 = 0 and solving for x This can be done using the quadratic equation and you would get the same results, however, it was much faster to factor instead.
Can all quadratics be solved by completing the square?
Completing the square is one method for solving a quadratic equation. A quadratic equation can also be solved by factoring, using the square roots or quadratic formula. Solving quadratic equations by completing the square will always work when solving quadratic equations-You can also use division or even simply take a GCF, set the quantities( ) equal to zero, and subtract or add to solve for the variable
What does quadratic equations using the factoring method means?
It means you are required to "solve" a quadratic equation by factorising the quadratic equation into two binomial expressions. Solving means to find the value(s) of the variable for which the expression equals zero.
Which equations could be solved using the quadratic formula?
Type your answer here...5x2 - 3x + 10 = 2x2x2 - 6x - 7 = 2x
When solving a quadratic equation by factoring what method is used?
Start with a quadratic equation in the form � � 2 � � � = 0 ax 2 +bx+c=0, where � a, � b, and � c are constants, and � a is not equal to zero ( � ≠ 0 a =0).
How do you write quadratic equations using roots?
If the two roots are x = r1 and x = r2 then the quadratic equation is: (x - r1)(x - r2) = x2 - (r1 + r2)x + r1r2 = 0
What is x2-8x plus 12 equals 0 using quadratic equations?
( x - 2)( x - 6) = 0 x = 2 or x = 6
