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Harman [31]
3 years ago
13

2n-7/3 = 15 solve for n

Mathematics
1 answer:
WITCHER [35]3 years ago
5 0
2n- \frac{7}{3} =15 
2n- \frac{7}{3} =15  common denominator is 3
3(2n- \frac{7}{3} )=3*15 distributhing  3 through parantheses
3*2n- \frac{3*7}{3}=3*15
3*2n-7=3*15
6n-7=45   add7
6n=45+7
6n=52 divide by 6
n= \frac{52}{6} simplify
n=8 \frac{2}{3} ⇒ \frac{26}{3}
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-1

Step-by-step explanation:

We need to simplify the given expression . The given expression is ,

\rm\implies ( 2 \sqrt6 +5)^{2n-1} ( 2\sqrt6 - 5)^{2n-1}

Here we can see that the power of the both exponent is same that is (2n+1) . Recall the property of exponents ,

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This can be written as ,

\rm\implies\{( 2 \sqrt6 +5) ( 2\sqrt6 - 5)\}^{2n-1}

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\rm\implies (-1)^{2n - 1 }

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Since the base is (-1) , for even power it is 1 and for odd power it is -1 . Therefore the final answer is ,

\rm\implies\boxed{\quad \red{ -1 }\quad }

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