pair of integer sum is 7 and product is 12
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pair of integer sum is 7 and product is 12
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Step-by-step explanation:
Let the 2 integers be x and y.
Given
Sum of 2 integers = 7
\implies x + y = 7⟹x+y=7
Product of 2 integers = 12
\implies xy=12⟹xy=12
Solving, we get,
\begin{gathered}y = 7-x\\\implies x(7-x) = 12\\\implies -x^{2} +7x-12=0\\\implies x^{2} -7x+12=0\\\implies x^{2} -4x-3x+12=0\\\implies x(x-4)-3(x-4)=0\\\implies (x-3)(x-4)=0\end{gathered}
y=7−x
⟹x(7−x)=12
⟹−x
2
+7x−12=0
⟹x
2
−7x+12=0
⟹x
2
−4x−3x+12=0
⟹x(x−4)−3(x−4)=0
⟹(x−3)(x−4)=0
When x = 3, y = 4
When x = 4, y = 3
Answer:
4,3
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Step-by-step explanation: