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# Quadratics Discriminant help C1 AS-Level

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1. I found this question in my student book and am stumped, I was wondering if anyone could help?

Given that the quadratic equation ax^2+bx+c=0 has two solutions, show that the quadratic equation given by a^2 x^2=b^2 x-2acx-c^2, where a, b and c are constants and b≠0, also has two solutions.

I am used to using the discriminant and inequalities to find solutions involving k, but here all the coefficients are different letters.

2. Find the discriminant:

Now continue using what is given and what you require for two solutions.
3. This is a nice little question.

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