which of the following is quadratic equation (a) 3x^2+1=0 (b) x^3+1=0 (c) x^2+x+1=0 (d) both a and c
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Answers
Answered by
1
Answer:
Correct option is
B
1
Quadratic equations 3x2+ax+1=0 and 2x2+bx+1=0 have a common root.
Let α be the common root.
⇒3α2+aα+1=0…(1)
and 2α2+bα+1=0…(2)
Multiplying (1) by 2 and (2) by 3.
Further solving those two equations for α gives
α=b−a…(3)
Substituting (3) in(1)
⇒2(b−a)2+b(b−a)+1=0
⇒3b2+2a2−5ab+1=0
∴5ab−3b2−2a2=1
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Answered by
1
Answer:
d) both a and c
Step-by-step explanation:
both of these have x raise to power of 2
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