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Question

For a,bR+, match the following quadratic equations with their corresponding roots.

A
x=1±14ab2a
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B
x=0;ba
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C
No Real Roots
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D
x=b±b24a2
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Solution

(i) ax2+bx=0
x(ax+b)=0
x=0 or x=ba

(ii) x2+bx+a=0
Using quadratic formula,
x=b±b24a2

(iii) ax2+b=0
ax2=b
x2=ba
x=±ba
Since, a,bR+ba<0
Thus, no Real Roots

(iv) ax2+x+b=0
Using quadratic formula,
x=1±14ab2a

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