Diamond Problem Calculator

Your details

Choose which two values you already know. The calculator solves for the other two.
The value at the top of the diamond, which equals left x right.
The value at the bottom of the diamond, which equals left + right.
Product (top)Two distinct solutions
12

Left x right: the value at the top of the diamond

Left number4
Right number3
Sum (bottom)7
Solution A (left = this)4
Solution B (left = this)3
Left4
Right3
Product12
Sum7

Diamond solved: left = 4, right = 3.

  • The two side numbers are 4 and 3.
  • They multiply to 12 and add to 7, matching your inputs.
  • This is the same as factoring x² − (7)x + (12) = (x − 4)(x − 3).

Next stepUse these numbers to factor a quadratic: write x² − (sum)x + (product) = (x − left)(x − right).

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