Using the quadratic formula to solve 5 x is equal to 6 x squared minus 3 , what are the values of x ?

Rearrange 5x = 6x² − 3 into standard form: 6x² − 5x − 3 = 0. Using the quadratic formula with a = 6, b = −5, and c = −3 gives x = (5 ± √(25 + 72))/12 = (5 ± √97)/12, which matches the choice with numerator 5 plus or minus √97.

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