4/x-1/4x при х=1,5 решите пж
Ответы на вопрос
4/x-1/4x при х=1,5
4/1,5-1/4*1,5
4/60-1/60
3/60
1/20
To solve the expression (4/x) - (1/4x) when x = 1.5, follow these steps:
Step 1: Substitute the value of x into the expression. Step 2: Perform the arithmetic operations.
Let's solve it:
Step 1: Substitute x = 1.5 into the expression: (4/1.5) - (1/(4*1.5))
Step 2: Perform the arithmetic operations: (4/1.5) is the same as (8/3) because dividing 4 by 1.5 equals 8/3. (1/(4*1.5)) is the same as (1/6) because 4 multiplied by 1.5 equals 6, and then the reciprocal of 6 is 1/6.
Now, the expression becomes: (8/3) - (1/6)
To subtract these fractions, they need to have the same denominator. The common denominator for 3 and 6 is 6. So, we convert both fractions to have a denominator of 6:
(8/3) becomes (16/6) by multiplying the numerator and denominator by 2. (1/6) remains the same.
Now, the expression is: (16/6) - (1/6)
Finally, we can subtract the fractions: (16/6) - (1/6) = (16 - 1) / 6 = 15 / 6 = 5/2
Therefore, when x = 1.5, the expression (4/x) - (1/4x) equals 5/2.
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