For which value of x must the expression
97x
−
−
−
√
97x
be further simplified?
you seriously need to work on your formatting...
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To find the value of x for which the expression 97x − √97x can be further simplified, we need to set the expression equal to zero and solve for x.
Setting the expression to zero: 97x − √97x = 0
To simplify this equation, we need to isolate the square root term. To do that, we can take the square of both sides of the equation:
(97x)² = (√97x)²
9409x² = 97x
Now, we can rearrange the equation by subtracting 97x from both sides:
9409x² - 97x = 0
Next, we factor out the common term x:
x(9409x - 97) = 0
To find the value of x, we set each factor equal to zero and solve for x individually:
1) x = 0
2) 9409x - 97 = 0
For the first factor, x = 0, no further simplification is needed.
For the second factor, we solve for x by adding 97 to both sides:
9409x = 97
Then, we divide both sides by 9409:
x = 97/9409
So, the expression 97x − √97x can be further simplified when x is equal to 0 or x = 97/9409.