Using the quadratic formula to solve 7x2 – x = 7, what are the values of x?

Your answers are x = 1.074 and x = -0.931
You first make the equation equal 0 by subtracting 7, and you get 7x² - x - 7 = 0.
In the quadratic formula, which is
(-b +- √b² - 4ac)/2a, a is the x², which is 7, b is the x, which is -1, and c is the value, which is -7. This means we can substitute those into our formula and get
(1 +- √-1² - 4 × 7 × -7)/2 × 7
The way I like to solve this is by figuring out the part inside the square root first, which is -1² - 4 × 7 × -7 = 197. Now we use that when substituting with plus and with minus, so:
(1 + √197)/14 = 1.074
(1 - √197)/14 = -0.931

I hope this helps! I'm not sure if it makes total sense so let me know if you want me to go over it a bit more :)

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