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Mekhanik [1.2K]
3 years ago
6

If you subtract 20 from twice a number the result is six what is the number

Mathematics
1 answer:
Sati [7]3 years ago
8 0
Let x be the number you want to know. Then
2x - 20 = 6
2x = 6 + 20
x =  \frac{6 + 20}{2}
x = 13
The number is 13
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Prove that under root 2 is a irrational number​
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Let's suppose √2 is a rational number. Then we can write it √2  = a/b where a, b are whole numbers, b not zero.

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From this we know that a itself is also an even number. Why? Because it can't be odd; if a itself was odd, then a · a would be odd too. Odd number times odd number is always odd. Check it if you don't believe me!

Okay, if a itself is an even number, then a is 2 times some other whole number. In symbols, a = 2k where k is this other number. We don't need to know what k is; it won't matter. Soon comes the contradiction.

If we substitute a = 2k into the original equation 2 = a2/b2, this is what we get:

2=(2k)2/b22=4k2/b22*b2=4k2b2=2k2

This means that b2 is even, from which follows again that b itself is even. And that is a contradiction!!!

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(I copied this from the internet, but hope it helps!)

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