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Advanced Math / Nonlinear equations in one variable and systems of equations in two variables Difficulty: Hard

If 3 x 2 - 18 x - 15 = 0 , what is the value of x 2 - 6 x ?

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Explanation

The correct answer is 5 . Dividing each side of the given equation by 3  yields x2-6x-5=0. Adding 5 to each side of this equation yields x2-6x=5. Therefore, if 3x2-18x-15=0, the value of x2-6x is 5 .