The product of two numbers is 323 and the difference between them is 2. What are the two numbers?
x = one number
y = other number xy = 323 {product of two numbers is 323} x  y = 2 {difference between the two numbers is 2} x = y + 2 {rearranged second equation} (y + 2)(y) = 323 {substituted (y + 2), in for x, into top equation} y² + 2y = 323 {used distributive property} y² + 2y  323 = 0 {subtracted 323 from each side} (y + 19)(y  17) = 0 {factored into two binomials} y + 19 = 0 or y  17 = 0 {set each factor equal to 0} y = 19 or y = 17 {solved each equation for y} x = y + 2 {bottom rearranged equation} x = 19 + 2 or x = 17 + 2 {substituted 19 and 17, in for y, into bottom rearranged equation} x = 17 or x = 19 {solved each equation for x} 17 and 19 or 19 and 17 could be the two numbers Ask Algebra House Comments are closed.

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