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Natali [406]
4 years ago
13

What numbers add to 2 and multiply to -56

Mathematics
2 answers:
marta [7]4 years ago
5 0

The numbers are irrational, so they can't be exactly written down
using only digits.

In exact form, they are

     1 + √57
and
     1 - √57 .

In rounded form, they are

     8.54983
and
    -6.54983 .
Ganezh [65]4 years ago
4 0
-x² + 2x - 56 = 0

Use the quadratic formula to get the roots:

x = \frac{-b\pm \sqrt{b^2-4ac}}{2a} where the equation is ax² + bx + c =0

\frac{-b \pm  \sqrt{ b^2 -4( a)(c)} }{2(a)}\\\\  \frac{-2\pm  \sqrt{2^2 -4(-1)(56)} }{2(-1)}\\    \\\frac{-2\pm  \sqrt{228 } }{-2} = \frac{-2\pm  \sqrt{4\times57 } }{-2} \\\\ = \frac{-2\pm  2\sqrt{57 } }{-2} \\\\ = \frac{-1\pm  1\sqrt{57 } }{-1} \\\\ =\boxed{\bf{ 1\pm \sqrt{57 }  }}\\a

The two numbers that add up to 2 and multiply to -56 are 1 + √57 and 1 - √57.
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Look at the table. Make a conjecture about the sum of the first 25 positive even numbers.
insens350 [35]
Even number are of the form 2n.  The sum of this sequence is the average of the first and last terms times the number of terms.

So the first term is 2 and the 25th term is 50 so the sum is:

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The conjecture they wish you to make is that for n terms, the sum will be:

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4 years ago
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8 0
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