SOLUTION: Find the solutions to x^2 + 64 = 19x. Enter your answers separated by commas.

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Question 1209245: Find the solutions to x^2 + 64 = 19x. Enter your answers separated by commas.
Answer by ikleyn(52780) About Me  (Show Source):
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Find the solutions to x^2 + 64 = 19x. Enter your answers separated by highlight%28cross%28commas%29%29 comma.
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Write in the standard form quadratic equation

    x^2 - 19x + 64 = 0.


Calculate the discriminant

    d = b^2 - 4ac = (-19)^2 - 4*1*64 = 361 - 256 = 105.


Find the roots using the quadratic formula

    x%5B1%2C2%5D = %28-b+%2B-+sqrt%28d%29%29%2F%282%2Aa%29 = %2819+%2B-+sqrt%28105%29%29%2F2.


ANSWER.  There are two roots  %2819+-+sqrt%28105%29%29%2F2,  %2819+%2B+sqrt%28105%29%29%2F2   (separated by comma - one comma is just enough to separate two roots).

Solved.