Question

if alpha and beta are the roots of ax²-2bx+c then alpha³ beta ³+alpha ²beta²+ alpha ³beta²​

Answer 1

Answer:

for ax2+2bx+c=0  roots are  α  and  β  

difference of the roots =  α−β=4b2−4aca2−−−−−−√  

for  Ax2+2Bx+C=0  roots are α+δ  and  β+δ  

difference of the roots = α−β=4B2−4ACA2−−−−−−−√  

from the above we get that

4b2−4aca2−−−−−−√=α−β  

4B2−4ACA2−−−−−−−√=α−β  

b2−acB2−AC=a2A2

Step-by-step explanation: