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Diamond Problem Calculator

Find two numbers that multiply to X and add to Y

Product (bottom of diamond)

Sum (top of diamond)

Setup

Find x and y where x + y = S, xy = P

Two unknowns, two equations

Quadratic Form

t² - St + P = 0

Convert to quadratic equation

Solution

t = (S ± √(S² - 4P)) / 2

Quadratic formula

Factoring Connection

x² + Sx + P = (x - t₁)(x - t₂)

Used in factoring trinomials

Factoring

• Trinomial factoring

• Quadratic equations

• Polynomial manipulation

Problem Solving

• Number puzzles

• Algebraic thinking

• Pattern recognition

Education

• Visual learning

• Factor pairs

• Algebraic concepts

Top: Sum (x + y)

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Left: x

Right: y

Bottom: Product (x × y)