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lord [1]
3 years ago
14

itle=" \sqrt{x - 3} + \sqrt{x + 5} = 4" alt=" \sqrt{x - 3} + \sqrt{x + 5} = 4" align="absmiddle" class="latex-formula">
​
Mathematics
1 answer:
Nuetrik [128]3 years ago
3 0
  • Answer:

<em>x = 4</em>

  • Step-by-step explanation:

<em>√x-3 + √x+5 = 4</em>

<em>(√x-3)² = (4-√x+5)²</em>

<em>x-3 = 16 - 8√x+5 + x+5 | -x</em>

<em>- 3 = 21 - 8√x+5</em>

<em>- 24 = - 8√x+5 | ×(-1)</em>

<em>24 = 8√x+5 | : 8</em>

<em>3 = √x+5</em>

<em>3² = (√x+5)²</em>

<em>9 = x + 5</em>

<em>x = 4</em>

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Answer:

<em>In the second group the individual members received a larger fraction of the prize money</em>

Step-by-step explanation:

<u>Division by Sharing</u>

A certain amount M can be evenly split among n parties by performing a division M/n.

The first group of six friends earned $45 and they split it evenly, i.e. the same amount goes to each member. Each of them received $45/6= $7.50 apiece.

The second group of four friends won the second-place prize of $35 and they split it evenly also. Each member received $35/4=$8.75.

By comparing both numbers, we see that 8.75 is a bigger fraction of 35 that 7.50 is of 45. Each member from the second-place price will receive more money than the first group.

We can conclude in the second group the individual members received a larger fraction of the prize money

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Slav-nsk [51]
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1st one : is 1/4 ( subtract 3/8 from both sides and simplify 5/8 - 3/8 to 1/4. )

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