Find the nature of the roots of the following quadratic equations. If real roots exist, find them, 2x²-6x +3=0
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Step-by-step explanation:
a=2,b=-6,c=3
D=b^2-4ac
=(-6)^2-4×2×3
=36-24
=12
=/0
hence roots are real but distinct
now roots i.e x={-b+-√D}/2a
={-(-6)+-(√12)}/2×2
=(6+-2√3)/4
=(6+2√3)/4,(6+-2√3)/4
=(3+√3)/2,(3-√3)/2.
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#Ravalika Rajula ⚡
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