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Find the nature of the roots of the following quadratic equations. If the real roots exist,find them3x square - 4√3 x + 4=0 |
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Answer» Answer: i) x2−3x+5=0a=2,b=−3,c=5 Discriminant, D=b2−4ac=9−40=−31 Since D<0, the ROOTS are IMAGINARY for the given equation. ii) 3x2−43x+4=0a=3,b=−43,c=4 Discriminant, D=b2−4ac=48−48=0 Since D=0, the roots are REAL and EQUAL for the given equation. 3x2−43x+4=0a=3,b=−43,c=4x=2a[−b±b2−4ac]x=643=32 iii) 2x2−6x+3 |
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