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madreJ [45]
3 years ago
9

NEED HELP FAST 30nPOINTS FOR BRAINLIEST √5x + √6 = √9

Mathematics
2 answers:
vodka [1.7K]3 years ago
8 0

\sqrt{5x} + √6 = √9


The first step is to get \sqrt{5x} by itself. We can do this by subtracting \sqrt{6} from each side, and simplifying \sqrt{9}


\sqrt{5x} = 3 - \sqrt{6}


Now we square both sides


5x = (3 - \sqrt{6})²


Using the formula (a - b)² = a² -2ab + b², (3 - \sqrt{6})² = 15 - 6\sqrt{6}


5x = 15 - 6\sqrt{6}


x = \frac{15 - 6\sqrt{6}}{5}

Anna007 [38]3 years ago
3 0

Next time please include the directions: "Solve this equation for x."


First, subtract √6 from both sides, obtaining √5*x = √9 - √6.

Next, divide both sides by √5:


√9 - √6

x = ----------------

√5


Altho' this is the answer, it's best to rationalize the denominator:



√9 - √6 √5 √5(√9 - √6)

x = ---------------- * ------- = -------------------- (best answer)

√5 √5 5

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we are given

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first term is -36

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so, next terms are

a_5=\frac{1}{36} , a_6=-\frac{1}{216}

, a_7=\frac{1}{1296}.............Answer

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