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Naddik [55]
3 years ago
11

How do you solve the equation 5/x= x-4

Mathematics
1 answer:
PolarNik [594]3 years ago
7 0

Answer:

x=5

Step-by-step explanation:

write x - 4 as a fraction with denominator = 1

 

5/x = (x - 4)/1

 

Now cross multiply

 

x(x - 4) = 5    multiply out and collect all terms on the left side of the equal sign

 

x2 - 4x - 5 = 0    factor the quadratic into two binomials

 

(x - 5)(x + 1) = 0   the product of two numbers = 0 when either number is zero

 

Therefore x = 5 or x = -1

 

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djverab [1.8K]
Mick would pay $4.06 in sales tax for an item that costs $58.00.

This can be found by working backwards in the problem. By dividing that sales tax paid (2.94) by the dollars before tax (42), you get a percentage that should equal the percentage of the total paid for tax.

2.94 ÷ 42 = 0.07

This means that the sales tax is 7% of the total prior to tax. So we'd then multiply our dollars (58) with the sales tax in decimal form (0.07)

58.00 × 0.07 = 4.06

Hope I could help!
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4 years ago
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tino4ka555 [31]

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