SOLUTION: Give exact and approximate solutions to 3 decimal places. {{{x^2+5x-3=0}}} The exact solutions are: The approximate solutions to 3 decimal places are:

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Question 130951: Give exact and approximate solutions to 3 decimal places.
x%5E2%2B5x-3=0
The exact solutions are:
The approximate solutions to 3 decimal places are:

Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!
x%5E2%2B5x-3=0

Completing the square is inconvenient because the coefficient on the x term is odd, so just use the quadratic formula:





x+=+%28-5+%2B-+sqrt%28+25%2B12+%29%29%2F2+

x+=+%28-5+%2B-+sqrt%28+37+%29%29%2F2+

37 is prime so there is no further simplification possible, and the two values presented above are the exact roots of the equation. As to the 3-decimal place accurate approximation, you can push calculator buttons as well as I can.