Write a quadratic equation in the form y=Ax^2 + Bx +C?

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the question is to turn this question {1/4} double root to standard form.

What i got is x = 1/4, x= 1/4 once you multiply them you get x^2 -1/2x -1/16 I think not sure if I'm correct

and thanks to who ever it is that edits my question...i don't know how to write it in a proper way and am learning but thanks

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You are correct. For any two roots $a$ and $b$, the quadratic with those roots is $0 =(x-a)(x-b) =x^2-(a+b)x + ab $.

If $a = b = \frac14$, the quadratic is $x^2-(\frac14+\frac14)x+\frac14\cdot \frac14 =x^2-\frac12x+\frac1{16} $.