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# Pls help... A-level maths problem (Quadratic Eq. w/ α, β roots) watch

1. The roots α and β of the quadratic equation
x^2 -kx + (k+1) = 0
are such that α^2 + β^2 =13. Find possible values of real number 'k'.
2. bumpppp plzzzzzz
3. Alright so you know that k is going to be the sum of the roots (I cba to type alpha and stuff on mobile so just deal with it) and k+1 is the product therefore you have 2 equations involving k plus the initial equation that a^2+b^2=13, you can say that a^2+b^2=(a+b)^2-2ab and from that you can use your values to solve for k
4. thanks
5. Questions like these are in the FP1 international papers and I believe some of the recalls. I vaguely remember a question which had a^4 +b^4 too.

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Updated: November 13, 2017
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