Product Sum Calculator

what is Product Sum in Math?

“The sum of products corresponding degrees or arrays are in which multiplication is default but addition, subtraction, and department is likewise feasible”.

System of sum and product:

The system for the sum and product of roots is given as:

• The sum of the roots = -b/a
• The fabricated from the roots = c/a

The way to find Numbers for the given product and sum?

Undergo the below technique to estimate the Product and Sum of the given numbers.

• In order to locate what numbers have a Product Sum, suppose the variables which you understand to start with.
• let's consider the values you need to locate are x, y whose product and sum are acknowledged.
• When you assume the variables, write the given statistics in the shape of equations.
• By means of the use of the fundamental substitution approach, you may get a term from which you can decide the values easily.

Example:

What Numbers have a manufactured from seventy two and a Sum of 18?

Solution:

Given Product of two numbers = 72

Sum of two numbers = 18

Let's assume the numbers you need to find as \(x\) and \(y\).

Product (\(x \cdot y\)) = 72

Sum (\(x + y\)) = 18

\(y = 18 - x\)

Substitute \(y\) in \(x \cdot y = 72\)

Substitute the value of \(y\) in the equation \(x \cdot y = 72\).

\(x \cdot (18 - x) = 72\)

\(18x - x^2 = 72\)

\(x^2 - 18x + 72 = 0\)

Standard form: \(x^2 - 18x + 72 = 0\)

Using the Quadratic Formula where:

\(a = 1, b = -18, \text{and } c = 72\)

\[ x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a} \]

\[ x = \frac{-(-18) \pm \sqrt{(-18)^2 - 4(1)(72)}}{2(1)} \]

\[ x = \frac{18 \pm \sqrt{324 - 288}}{2} \]

\[ x = \frac{18 \pm \sqrt{36}}{2} \]

\[ x_1 = \frac{18 + 6}{2}, \hspace{0.25in} x_1 = 12 \]

\[ x_2 = \frac{18 - 6}{2}, \hspace{0.25in} x_2 = 6 \]

The two numbers whose product is 72 and sum is 18 are 12 and 6.

you may confirm this solution with our sum of numbers calculator.

How does the Product Sum Calculator paintings?

It's easy to operate this complimentary product calculator in sums. just input the following data sets and rapidly run the computations.

Input:

• Enter the made of the range
• Now cross for getting into the sum of number the equal manner
• Now tap the calculate button

Output:

This product and sum calculator does the subsequent calculations:

• Decide the roots of the quadratic equation due to the product and sum being supplied

An Technical-Calculator quadratic formula calculator facilitates to clear up a given quadratic equation by using the usage of the quadratic equation method.

FAQ’s:

What is supposed by means of Sum?

The sum is normally the end result of including or more numbers in maths. here you can calculate the values of sum and product by means of the usage of this product sum calculator.

what's product in maths?

In mathematics, the product is the outcome of two or more numbers being multiplied. In what way do I have the technique to find numbers known their Product and Sum? You can use our sum and product calculator with step-by-by-by responses.

what is the sum product rule?

The sum rule is to locate the opportunity of either of activities that can't occur simultaneously. at the same time as the product rule is for locating the chance of both occasions which might be unbiased.