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DochEvi [55]
3 years ago
10

PLEASE HELP ASAP !! (Picture included)

Mathematics
1 answer:
slega [8]3 years ago
8 0

This is the question that's gonna put me over the top and make me a Brainly Genius. Of course working for free doing middle school math homework doesn't really sound like a genius, but I'm doing it anyway.

This one is the Pythagorean Theorem of course:

(x+3)^2 + (x+4)^2 = (x+10)^2

x^2 + 6x + 9 + x^2 + 8x + 16 = x^2 + 20 x + 100

x^2  - 6x - 75 = 0

The Shakespeare Quadratic Formula (2b or -2b) is a little shortcut for the quadratic formula when the middle term is even.

x^2-2bx+c \textrm{ has zeros } x=b\pm \sqrt{b^2-c}

So we get

x = 3 \pm \sqrt{3^2 -(-75)} = 3 \pm \sqrt{84} = 3 \pm 2 \sqrt{21}

The minus root is less than -6 giving negative sides, so we reject it and conclude

x = 3 +  2 \sqrt{21}

Choice C

When I hit Add I officially become a Genius. Maybe I should retire.


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