SOLUTION: My book does not tell me how to do a problem with a square root symbol over top of: 2x+7 for example. 2x+7=5 There is a square root over the 2x+7 (I cannot do square root on the co

Algebra ->  Equations -> SOLUTION: My book does not tell me how to do a problem with a square root symbol over top of: 2x+7 for example. 2x+7=5 There is a square root over the 2x+7 (I cannot do square root on the co      Log On


   

Question 461860: My book does not tell me how to do a problem with a square root symbol over top of: 2x+7 for example. 2x+7=5 There is a square root over the 2x+7 (I cannot do square root on the computer)
Found 2 solutions by bucky, solver91311:
Answer by bucky(2189) About Me  (Show Source):
You can put this solution on YOUR website!
Given:
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sqrt%282x%2B7%29+=5
.
You can start by squaring both sides to get rid of the square root sign. When you square a square root, you just get the quantity within the square root sign. On the other side of the equation, squaring 5 results in 25. Therefore, by squaring both sides of this equation you get:
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2x+%2B+7+=+25
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Solve this equation. Start by getting rid of the 7 on the right side by subtracting 7 from both sides.
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2x+=+25-7
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which is:
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2x+=+18
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Solve for x by dividing both sides by 2:
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x+=+9
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That's the answer. Check by substituting 9 for x in the original problem:
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sqrt%282%2A9+%2B7%29+=+5
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sqrt%2818%2B7%29+=+5
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sqrt%2825%29+=+5
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5+=+5
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That works. Therefore, the answer x = 9 is correct.
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Hope this helps you to understand one way of getting rid of square root signs to solve an equation.

Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


First of all, yes you can do square root on the computer.

sqrt(2x + 7) = 5 means



We know that if then

We also know that

So square both sides of your equation and then proceed from there.

John

My calculator said it, I believe it, that settles it
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