Seems Simple, forgetting some fundamentals - (1.6)/(3.01) = x/(1000+x)

Hagman7v

Hagman7v

Answered question

2022-09-24

Seems Simple, forgetting some fundamentals - 1.6 3.01 = x 1000 + x
I am having trouble remembering/finding simple source to review a few fundamentals. I know I need to factor and try getting x alone. Though not able to recreate answer. Seems it would have multiple roots. Would be great to see the proper steps to solve.
1.6 3.01 = x 1000 + x

Answer & Explanation

Rachael Conner

Rachael Conner

Beginner2022-09-25Added 8 answers

It's much easier than you think.
a b = c d a d = b c ; b 0 ; d 0
So
1.6 3.01 = x 1000 + x
( 1000 + x ) 1.6 3.01 = ( 1000 + x ) x 1000 + x
( 1000 + x ) 1.6 3.01 = x
( 1000 + x ) 1.6 3.01 3.01 = x 3.01
1.6 ( 1000 + x ) = 3.01 x
Just solve that.
(i.e.
1600 + 1.6 x = 3.01 x
1600 = 3.01 x 1.6 x = 1.41 x
x = 1600 1.41
If you want to be pervese:
1.6 3.01 = x 1000 + x
160 301 = 1 1000 x + 1
301 160 = 1000 x + 1
1 141 160 1 = 1000 x
141 160 = 1000 x
160 141 = x 1000
160000 141 = x
malaana5k

malaana5k

Beginner2022-09-26Added 1 answers

It does not have multiple roots, since the order of x is just one. The multiplication happens between constants (numbers) so it does not affect the number of solutions.
1.6 3.01 = x 1000 + x 1.6 ( 1000 + x ) = 3.01 x 1600 + 1.6 x = 3.01 x 1.41 x = 1600 x = 1600 1.41

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