SOLUTION: Solve by using the quadratic formula. 6x^2 + x + 1 = 0

Question 103580This question is from textbook algebra
: Solve by using the quadratic formula. 6x^2 + x + 1 = 0 This question is from textbook algebra

Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!

Solved by pluggable solver: Quadratic Formula

Let's use the quadratic formula to solve for x:

Starting with the general quadratic

the general solution using the quadratic equation is:

So lets solve ( notice , , and )

Plug in a=6, b=1, and c=1

Square 1 to get 1

Multiply to get

Combine like terms in the radicand (everything under the square root)

Simplify the square root (note: If you need help with simplifying the square root, check out this solver)

Multiply 2 and 6 to get 12

After simplifying, the quadratic has roots of

or

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