Question

if α andβare-the-zeroes-of-the-polynomial 2x2-4x-5-find-the-value-of α3 - β3​

Answer 1

I'm writing alpha as @ and beta as ß.

Can you please rewrite the polynomial? I can't understand what's written.

Sum of zeros=@+ß=-b/a=-(-4)/2=2

Product of zeros=@ß=c/a=-5/2

@³-ß³

(@-ß)²=(@+ß)²-4(@ß)

=(2)²-4(5/2)

=4+10

=14

(@-ß)²=14

@-ß=√14

@³-ß³=(@-ß)³+3@ß(@-ß)

=(√14)³+3(-5/2)(√14)

=14√14-15√14/2

=28√14-15√14/2

=13√14/2

So, the answer is 13√14/2.

Answer 2

ANSWER :

See the picture above attached!

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Thanks for the question!