I hope this helps you
What is -5x -10=10 ?
1 answer:
Answer: " x = - 4 " .
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Step-by-step explanation:
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Method 1):
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Given:
" -5x − 10 = 10 " ; Solve for "x" ;
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Add "10" to Each Side of the equation:
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-5x − 10 + 10 = 10 + 10 ;
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to get:
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-5x = 20 ;
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Now, divide Each side of the equation by " -5 " ;
to isolate "x" on one side of the equation;
& to solve for "x" :
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-5x / -5 = 20/ -5 ;
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to get:
" x = - 4 " .
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Method 2):
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Given:
" -5x − 10 = 10 " ; Solve for "x" ;
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Multiply each side of the equation by "-1" ; to get rid of the "negative value" of the "coefficient of "x" :
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-1 *{-5x − 10} = 10*{-1} " ;
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to get:
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[-1*-5x] − [-1*10] = -10 ;
to get:
5x − (-10) = -10 ;
to get:
5x + 10 = -10 ;
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Subtract "10" from Each Side of the equation:
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5x + 10 − 10 = -10 − 10 ;
to get:
5x = -20 ;
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Now, divide each side of the equation by "5" ;
to isolate "x" on one side of the equation;
and to solve for "x" ;
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5x / 5 = -20 / 5 ;
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to get:
" x = - 4 " .
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Method 3):
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Given:
" -5x − 10 = 10 " ; Solve for "x" ;
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Divide Each Side of the equation by: "-5" ;
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" " ;
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Simplify to:
" " ;
Simplify to:
" x − (-2) = - 2 " ;
Simplify to:
" x + 2 = - 2 " ;
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Now, subtract "2" from Each Side of the equation;
to isolate "x" on one side of the equation;
and to solve for "x":
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" x + 2 − 2 = - 2 − 2 " ;
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to get:
" x = - 4 " .
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Hope these explanations are helpful to you!
Wishing you the best!
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The interval of the convergence is x < -3 or x > 3 if the series n 3^n/x^n goes infinitely.
<h3>What is convergent of a series?</h3>A series is convergent if the series of its partial sums approaches a limit; that really is, when the values are added one after the other in the order defined by the numbers, the partial sums getting closer and closer to a certain number.
We can find the interval for the convergent by root test.
Like the Ratio Test, the root Test is used to determine absolute convergence (or not) with factorials, the ratio test is useful.
For the given series:
As the series goes infinitely, we can use root test.
By the root test, the convergence interval will be;
The interval of convergence is:
x < -3 or x > 3 we can write this as:
|x| < 3
Thus, the interval of the convergence is x < -3 or x > 3 if the series n 3^n/x^n goes infinitely.
Learn more about the convergent of a series here:
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