(3x^2)-(x)=1 Solve for x: If you could can you show steps

Question

(3x^2)-(x)=1
Solve for x:
If you could can you show steps

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    2021-11-15T14:43:10+00:00

    Answer:

    x = 0.787 and x = -0.565

    Step-by-step explanation:

    Here’s how I got these answers:

    (3x^2)-(x)=1 can be rewritten as the quadratic 9x^2 – x – 1 = 0.  Here a = 9, b = -1 and c = -1.  The discriminant b^2-4ac is therefore 1-4(9)(-1) = 37.  There are two real, unequal roots (values of x that make the given equation true).  They are:

                 -(-1) plus or minus √37

    x =      ————————————-

                              -9

    Simplifying, we get:

    x =  (1 + √37)/9 and x = (1 – √37)/9

    This results in x = 0.787 and x = -0.565

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