SOLUTION: four times the square of a certain number is increased by 6 times the number equals 108. find the number.

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Question 990863: four times the square of a certain number is increased by 6 times the number equals 108. find the number.
Found 2 solutions by macston, ikleyn:
Answer by macston(5194) About Me  (Show Source):
You can put this solution on YOUR website!
.
x=the number
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4x%5E2%2B6=108
4x%5E2=102
x%5E2=25.5
x=±5.05

Answer by ikleyn(52775) About Me  (Show Source):
You can put this solution on YOUR website!
.
Hello,
I re-wrote the formulation for clarity:

Four times the square of a certain number increased by 6 times the number equals 108. Find the number.
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4x%5E2 + 6x = 108.

4x%5E2 + 6x - 108 = 0.

x%5B1%2C2%5D = %28-6+%2B-+sqrt%2836+%2B+4%2A4%2A108%29%29%2F8 = %28-6+%2B-+42%29%2F8.

x%5B1%5D = -6, x%5B2%5D = 4.5.