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Irina-Kira [14]
3 years ago
12

Find two consecutive integers whose product is 6 less than the square of the smaller number

Mathematics
1 answer:
Artyom0805 [142]3 years ago
5 0

Answer:

Hi there!

Your answer is:

The smaller integer is -6

The larger integer is -5

Step-by-step explanation:

Two consecutive integers:

x, x+1

Product= multiply

(x) × (x+1) = x^2 - 6

x^2 + x= x^2 -6

-x^2

x= -6

Plug back in

First integer (smaller):

-6

Second integer (larger):

-6+1

-5

<u>Check</u><u> </u><u>your </u><u>work</u><u>!</u>

(-6) × (-6+1)

(-6)× (-5)

30 = (-6)^2 -6

30 = 36-6

30= 30 ✓✓✓✓

That's how we determine that <em>this </em><em>is</em><em> </em><em>the</em><em> </em><em>corr</em><em>ect</em><em> </em><em>answe</em><em>r</em>

Hopefully this helps

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Answer:

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Step-by-step explanation:

Given the height of a falling object expressed as;

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If the object travel 84 feet, we are to find the time t it takes to travel. On substituting;

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3t+5t^2 - 84 = 0

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t = -5±√25+1008/6

t = -5±32.14/6

t = -5+32.14/6

t = 27.14/6

<em>t = 4.52 secs</em>

<em>Hence it will take 4.52secs for the object to travel 84feet</em>

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