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Quadratic equations and roots

This question is about quadratic equations and their roots

08 April 2017
Hi.To start this question, take f(x) and g(x) and substitute them into the equation f(x)+tg(x)=0. Then you'll have to multiply t into g(x), and rearrange the resultant quadratic equation into the form ax^2+bx+c (multiply out tg(x) and factorise the x^2 and x terms). We then have a quadratic, and given the fact that there is only one real root to the quadratic, we can use the discriminant and say that b^2-4ac = 0. You'll then have another quadratic with the in it, which you can solve and continue with the question. Feel free to ask if you need more help.
11 April 2017
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