doubts in equations 2

1. If a,b,c are odd integers , ax^2+bx+c=0 cannot have ratioal roots. Prove it.

2. For what values of a does the eqn (2a+1)x^2-a(x-1)=2 has one root greater than 1 and other less than 1.

3. If a and b are the roots of x^2+px+q=0 the express a⁵+b⁵ in terms of p and q.

4. Solve x^y=y^x and x²=y³.

3 Answers

4) take log both sides..

3) a⁵ + b⁵ = (a² + b² ) (a³ +b³ ) -a²b² (a+b)

2)is the answer (-0.5,0.5) ?

First one is based on simple reasoning, you can try it yourself. (If you haven't dumped ur homework herein)

vivek plz answer the chatbox

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