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The roots of Ax^2+Bx+1 are the same as the roots of (x - 2)(x + 2). What is A+B?

 Jun 27, 2024
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Expanding (x2)(x+2) gives x24. In order to get it into the form Ax2+Bx+1 where the constant term is 1, we can divide the original quadratic by 4 to get 14x2+1, so A+B=14+0=14

 Jun 27, 2024
edited by AsianMathGuy  Jun 27, 2024

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