SOLUTION: The product of two consecutive positive odd integers is one less than three times their sum. Find the integers.
A ladder is resting against a wall. The top of the ladder touch
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-> SOLUTION: The product of two consecutive positive odd integers is one less than three times their sum. Find the integers.
A ladder is resting against a wall. The top of the ladder touch
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Question 235999: The product of two consecutive positive odd integers is one less than three times their sum. Find the integers.
A ladder is resting against a wall. The top of the ladder touches the wall at a height of 12 feet. Find the length of the ladder if the length is 8 feet more than its distance from the wall. Answer by solver91311(24713) (Show Source):
Let represent a positive odd integer. Then the next consecutive positive odd integer must be .
The product:
The sum:
One less than that:
Which is to say:
Solve the quadratic (it factors). Exclude the negative root because the problem asked for positive odd integers. The positive root is one of the integers. Add 2 to get the other one.
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The ladder, the ground, and the wall, presuming that the wall and the ground form a right angle, form a right triangle with sides 12, and , and hypotenuse
