SOLUTION: The sum of the roots of 8x² - 2x = 1 is:

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Question 446754: The sum of the roots of 8x² - 2x = 1 is:
Found 2 solutions by rfadrogane, josmiceli:
Answer by rfadrogane(214)   (Show Source): You can put this solution on YOUR website!
The sum of the roots of 8x² - 2x = 1 is:
Sol'n:
8x² - 2x - 1 = 0
divide the equation by 8:
x²- (1/4)x - 1/8 = 0
from the properties of quadratic equation:
sum of its roots = 1/8 ----answer
soon the open: www.mathgeas.com

Answer by josmiceli(19441)   (Show Source): You can put this solution on YOUR website!
if I say the roots are and ,


then


and

(1)
given:


(2)
Comparing (2) with (1),

The sum of the roots is 1/4
check:
Complete the square:






and, also




OK

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