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- Problems Related to quadratic equations
- Choose the correct Answer
X + 1/X = 5/2
we have to find discriminant
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(x²+1 )2=5x
=2x²+2-5x=o
we know that
- D=b²-4ac
Putting the value in D
=>D=25-4×2×2
=>D=25-16
=>D=9
Option A is Right
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2).
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x+ 1/x =?
x²+2x+1=0
=>x²+x+X+1=0
=>X(X+1)+1(X+1)=0
=>X=-1,-1
Putting the value in x+ 1/x =?
x+ 1/x =?
=>x+ 1/x
=>-1-1
=>-2
Option D is correct
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3)
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- Roots are equal to the Equation
Therefore
b²-4ac=0
b²=4ac
here c is a constant
Therefore answer is 4a
Option A is correct
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4).
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Let alpha = A and Beta = B
x²-px+q=0
we know that
=>A+B=-b/a = -p
=>A×B=c/a =q
Then
A+B)² = A²+B²+2AB
=>p²-2q=A²+B²
Option A is
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