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
