if alpha,beta are the roots of the quadratic equation x2-b(x+1)=0,then (alpha+1)(beta+1)=?
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Answer:
Your Answer is below....
Step-by-step explanation:
Let a and b be the roots of the quadratic equation,x²+x+1=0
We have,
x²+x+1=0
To find: 1/a + 1/b
__________________________________________________
★Some Rules of Polynomial
•Sum of Roots: -x coefficient/x²coefficient
•Product of Roots: constant term/x²coefficient
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Here,
Sum of Roots:
a+b= -1
Product of Roots:
ab= 1
Now,
1/a +1/b
→ (a+b)/ab
→ (-1)/1
→ -1
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