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Oduvanchick [21]
3 years ago
10

What three consecutive integers equal 81

Mathematics
2 answers:
Marysya12 [62]3 years ago
3 0
81 / 3 = 27 
so middle number  = 27
the other 2 are 26 and 28

answer
<span>26, 27, 28 are three consecutive integers equal 81</span>
Marat540 [252]3 years ago
3 0
The consecutive integers:  n, n+1, n+2

That sum to 81:

n+n+1+n+2=81  combine like terms on left side

3n+3=81  subtract 3 from both sides

3n=78   divide both sides by 3

n=26

So the three numbers are 26, 27, and 28.


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Answer:

The answer is x=-16 ±2\sqrt{3} in exact form or x=-12.535898, x=-19.464102 in decimal form.

Step-by-step explanation:

To solve this problem, start by moving all terms to the left side of the equation and simplify. Simplify the equation by subtracting 12 from both sides of the equation and squaring x+16, which will look like x^{2} +32x+256-12=0. Next, simplify the equation again, which will look like x^{2} +32x+244=0.

Then, use the quadratic formula to find the solutions. The quadratic formula looks like\frac{-b(+-)\sqrt{b^{2}-4ac } }{2a}.

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The next step is to substitute the values a=1, b=32, and c=244 into the quadratic formula and solve. The quadratic formula will look like \frac{-32(+-)\sqrt{32^2-4(1*244)} }{2*1}. To simplify the equation, start by simplifying the numerator, which will look like x=\frac{-32(+-)4\sqrt{3} }{2*1}. Then, multiply 2 by 1 and simplify the equation, which will look like x=-16(+-)2\sqrt{3}. The final answer is x=-16 ±2\sqrt{3} in exact form. In decimal form, the final answer is x=-12.535898, x=-19.464102.  

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