exam Maths Puzzle Numerical Ability

Hello,
I am unsure if I have the correct answer for this problem
solve by the quadratic formula
6x^2=x+2

my answer {49/12}

Thank you for your help

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exam Other Question

lines p and q intersect to form adjacent angles 1 and 2. if measurement of angle 1 = 3x+18 and mearsurement of angle 2 = -8y-70, find the values of x and y so that p is perpendicular to q. graph each of the following inequalities on the cartesian plane
2x + y <_ -5

How do I know what number to plug in? Can I used any set of numbers? Do I have to make the statement true then graph it?