SOLUTION: Can you please solve the equation by completing the square: -10x=3x²-2

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Question 437377: Can you please solve the equation by completing the square: -10x=3x²-2
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
Can you please solve the equation by completing the square: -10x = 3x² - 2
:
Re-write the equation in the form
3x^2 + 10x + ___ = 2
The coefficient of x^2 has to be 1, divide by 3, results:
x^2 + 10%2F3x + ____ = 2%2F3
:
Find the term which completes the square; (10/6)^2 = (100/36) reduces to 25%2F9
x^2 + 10%2F3x + 25%2F9 = 2%2F3 + 25%2F9
:
x^2 + 10%2F3x + 25%2F9 = 6%2F9 + 25%2F9
:
x^2 + 10%2F3x + 25%2F9 = 31%2F9
:
(x + 5%2F3)^2 = 31%2F9
:
x + 5%2F3 = +/-sqrt%2831%2F9%29
:
Two solutions
x = -5%2F3 + 1%2F3sqrt%2831%29
We can write it:
x = %28-5+%2B+sqrt%2831%29%29%2F3
and
x = %28-5+-+sqrt%2831%29%29%2F3