4 x 2 + 81 = 36 x 4 x 2 − 36 x + 81 = 0 ( 2 x − 9 ) 2 = 0 2 x − 9 = 0 2 x = 9 x = 4.5
To solve the equation 4 x 2 + 81 = 36 x , we rearranged it into standard quadratic form and applied the quadratic formula. This yielded a single solution of x = 4.5 . The quadratic formula allowed us to find the solution systematically, identifying coefficients a , b , c along the way.
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