Algebra

Use the quadratic formula to solve the equation. Give exact answers:

2x^2 -1 = 6x.

The choices are:

a) -3 + square root(7)/2, -3 - square root(7)/2
b) 3 + square root(11)/2, 3 - square root(11)/2
c) 3 + square root(7)/2, 3 - square root(7)/2
d) -3 + square root(11)/2, -3 - square root(11)/2

I attempted this problem but got none of these answers! Could you please walk me through the problem and tell me which answer is correct? Thank you so much! :)

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  1. 2 x^2 - 6 x - 1 = 0

    x = [ 6 +/- sqrt (36 + 8) ] / 4

    x = [ 6 + /- sqrt (44) ] / 4

    x = [ 6 + /- 2 sqrt (11) ] / 4

    x = [ 3 +/- sqrt(11) ] / 2 so b

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  2. 4�ã7+3�ã3

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  3. 2x^2-1=6x
    2x^2-6x-1=0
    a b c and then solve by using the quadratic formula

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