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Vesnalui [34]
4 years ago
15

One integer is 7 more than another. Their product is 98. Find the integers,

Mathematics
1 answer:
ipn [44]4 years ago
5 0

Answer:

- 14, - 7 or 7, 14

Step-by-step explanation:

Let the the two integers be x and (x + 7)

\therefore \: x(x + 7) = 98 \\  {x}^{2}  + 7x - 98 = 0 \\  {x}^{2}  + 14x - 7x - 98 = 0 \\ x(x + 14) - 7(x + 14) = 0 \\ (x + 14)(x - 7)  = 0 \\ (x + 14) = 0 \: or \: (x - 7) = 0 \\ x =  - 14 \: or \: x = 7 \\  \\ when \: x =  - 14 \\ x + 7 =  - 14 + 7 =  - 7 \\  \\ when \: x = 7 \\ x + 7 = 7 + 7 = 14 \\

Hence the required integers are - 14, - 7 or 7, 14

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