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eimsori [14]
3 years ago
6

** ANSWER QUICKLY TIMED QUIZ **

Mathematics
1 answer:
maks197457 [2]3 years ago
4 0
4x^2+32x-28=0\ \ \ |:4\\\\x^2+8x-7=0\ \ \ |+7\\\\x^2+8x=7\\\\x^2+2x\cdot4=7\ \ \ |+4^2\\\\x^2+2x\cdot4+4^2=7+4^2\\\\(x+4)^2=7+16\\\\(x+4)^2=23\\\\Answer:\ B.(x+4)^2=23
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How do you solve this?
Bogdan [553]

Answer:

  x = y = (15/2)√2

Step-by-step explanation:

You can recognize this as an isosceles right triangle, so x=y. They Pythagorean theorem then tells you that ...

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  225/2 = x²

  √(225/2) = x = √(225·2/4) = (15/2)√2

The solution is x = y = (15/2)√2.

_____

<em>Comment on isosceles right triangles</em>

It is worth remembering that the ratio of sides of an isosceles right triangle is ... side : side : hypotenuse = 1 : 1 : √2.

Knowing this lets you write down the solution to this problem as ...

  x = y = 15/√2

Of course, the denominator of this fraction can be rationalized by multiplying the fraction by (√2)/(√2) to get (15√2)/2 or (15/2)√2.

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The difference of 9 and a number n
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