find the nature of the roots of the quadratic equation 2x×x-2√6x+3=0 , if the roots exist then find them
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Nature of roots are real and equal and the roots are ✓6/2 and ✓6/2
Step-by-step explanation:
2x²-2✓6x+3=0
Discriminant=b²-4ac
=(-2✓6)²-4(2)(3)
=24-24
=0
Discriminant =0
nature of roots: The roots are real and equal
x= -b+-✓(b²-4ac)
__________
2a
x= 2✓6+-0
______
4
x= ✓6/2
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