4. If a and B are zeroes of polynomial 5x?-8x-4, write the
value of a+B+aß.
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Step-by-step explanation:
Our original quadratic expression is; 3x2−5x+8
Now, if p and q are the roots, then:
3(x−p)(x−q)=0
Multiplying out the terms, we have:
B: 3x2−3(p+q)x+3pq=0
But, A and B are the same equation, so:
−3(p+q)=−5→p+q=53
3pq=8→pq=83
Now, (p+q)2=p2+2pq+q2
→p2+q2=(p+q)2−2pq
We know the values of p + q (from 1.) and pq (from 2.), thus:
p2+q2=(53)2−283
=259−163
=259−489
=−239
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Answer:
pta nhi bhai
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