the product of 2 consecutive integers is 5 more than the square of the smaller integer.What is the value of the smaller integer?
1 answer:
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You can use the pythagorean theorem.
Now lets write out what we know.
Shorter leg = x
Longer Leg = x + 7
Hypotenuse = x - 7
Now solve for x
x = 28
Since you know x = 28, which is the shorter leg, you can solve for the rest by just plugging in 28 where x is located. For instance, longer let is x + 7 so
28 + 7 = 35
Now lets write out what we know.
Shorter leg = x
Longer Leg = x + 7
Hypotenuse = x - 7
Now solve for x
x = 28
Since you know x = 28, which is the shorter leg, you can solve for the rest by just plugging in 28 where x is located. For instance, longer let is x + 7 so
28 + 7 = 35