What is the diamond problem?

You know x+y (sum) and x×y (product); the diamond method finds x and y by solving t² − (sum)t + product = 0.

When are there real solutions?

When (sum)² ≥ 4×product; otherwise the roots are complex.

Yes. Enter sum and product as decimals; the solver works with real numbers.

Given the sum and product of two numbers (x+y and x×y), find x and y using the diamond method.

Enter x+y (sum) and x×y (product) to find x and y.

Sum (x + y)

Product (x × y)

What is the diamond problem?: You know x+y (sum) and x×y (product); the diamond method finds x and y by solving t² − (sum)t + product = 0.
When are there real solutions?: When (sum)² ≥ 4×product; otherwise the roots are complex.
Can x and y be decimals?: Yes. Enter sum and product as decimals; the solver works with real numbers.

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