discuss the nature of roots for the equation √3x" - 5x +7√3
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Step-by-step explanation:
To find the nature of roots we first find the value of b²-4ac, where a and b are the coefficients of x² and x respectively and c is the constant term.
If b²- 4ac is less than 0, the roots will not be real.
If b²- 4ac is equal to 0, the roots will be equal real roots.
If b²- 4ac is greater than zero the roots will be two distinct real roots.
So the value of b²-4ac = (-5)²-(4)(√3)(7√3)
=25-84= -59
As the value is less than zero, the roots will not be real.
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