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Natali [406]
3 years ago
13

What numbers add to 2 and multiply to -56

Mathematics
2 answers:
marta [7]3 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]3 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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