x^2-5x+3=0 .find roots
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[tex]\implies[/tex]Taking out the discriminant,
=>D=b²-4ac
=>D= (-5)²-4.(3)(3)
=> D= 25-36
=>D= -11
Which means D is less then that of O.
or is negative!!
And accoring to the rule, if its negative it has IMAGINARY ROOTS.
[tex]x = \frac{5± \sqrt{13} }{2} [/tex]
Step-by-step explanation:
Refer attachment.