Original post by gdunne42
Which question are you troubled by, what have you tried to solve it?
questions 1 , 2 , 9 and10
Original post by stalleyzim
questions 1 , 2 , 9 and10
Q1 and Q3 - since these cubics have a repeated root, you can denote this root by , and then note that . Then consider the derivative of these cubics. At you must have . This gives another equation which you can use with the first and solve for the value of
Q2 - Simply sub x=0 and show that the equality does not hold. Dividing it through by and rearranging it a bit yields . So given the substitution, express this eq. in terms of . The only bit of work you really need to do here is work out what is in terms of
Q9 - begin by squaring both sides to yield then rearrange for the root and square once more to get rid off it. Solve the quadratic at hand. Disregard solutions (if any) for which any of the expressions , , or are negative.
Q10 - You can sketch both sides of the equation on the same graph and work from there. Otherwise, note that so really you're just dealing with the eq. which can be dealt in a similar fashion as Q9. OR yet another alternative - search for solutions in the regions , and individually by noting, for example, that for we have and , hence the eq. for this region is just
(edited 6 years ago)
thank you
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