SOLUTION: if five times the square of a positive number is added to the product of 38 and a number, the result is 63. Find the number

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Question 1063211: if five times the square of a positive number is added to the product of 38 and a number, the result is 63. Find the number
Found 3 solutions by Boreal, stanbon, math_helper:
Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
5x^2+38x=63, I am assuming the same number is squared and later multiplied by 38.
5x^2+38x-63=0
(5x-7)(x+9)=0
5x=7
x=7/5 ANSWER
square it and get 49/25
multiply by 5, 49/5
add it to 38*7/5=266/5
add those together and get 315/5=63

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
if five times the square of a positive number is added to the product of 38 and a number, the result is 63. Find the number
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Equation:
5*x^2 + 38x = 63
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5x^2 + 38x - 63 = 0
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5x^2 + 45x - 7x - 63 = 0
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5x(x+9) - 7(x+9) = 0
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(5x-7)(x+9) = 0
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x = 7/5 (Note: The solution must be a positive number)
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Cheers,
Stan.
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Answer by math_helper(2461) About Me  (Show Source):
You can put this solution on YOUR website!
if five times the square of a positive number is added to the product of 38 and a number, the result is 63. Find the number
5x%5E2+%2B+38x+=+63+
+5x%5E2+%2B38x+-+63+=+0+
+%285x+-++7+%29+%28x+%2B+9%29+=+0+
++highlight+%28x+=+7%2F5%29+ (x=-9+ is discarded due to -9+%3C=+0+)


Check:
+5%2A%287%2F5%29%5E2+%2B+38%287%2F5%29+=+9.8+%2B+53.2+=+63+