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Lapatulllka [165]
1 year ago
9

If x3 = 125, find x²

Mathematics
1 answer:
Burka [1]1 year ago
5 0

The value of x^{2} is 25 when we have (cube of x = 125) x^{3} = 125.

According to the question,

We have the following expression:

x^{3} = 125

Now, we will do the cube roots on both the sides:

\sqrt[3]{x^{3} } = \sqrt[3]{125}

(We can find the cube roots of 125 by finding the Least Common Multiple or LCM.)

So, we will have the following expression:

x = 5

Now, to find the value of x^{2}, square on both the sides:

x^{2} = 5^{2}

x^{2} = 25

(More to know: when we square a number we multiply a number two times and when we find cube of a number then we multiply a number three times.)

Hence, the value of x^{2} is 25.

To know more about cube here

brainly.com/question/28134860

#SPJ1

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The common ratio in a geometric series is 0.5 and the first term is 256. Find the sum of the first 6 terms in the series
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Answer:

The sum of the first 6 terms of the series is 504.

Step-by-step explanation:

Given that,

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We need to find the sum of the first 6 terms in the series. If a and r area the first term and common ratio of a series, then the series becomes:

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The sum of n terms of a GP is given by :

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Here, n = 6

S_n=\dfrac{256\times (1-(0.5)^6)}{1-0.5}\\\\S_n=504

So, the sum of the first 6 terms of the series is 504.

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