Question

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

Answer 1

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