Q. 24.3( 154 Votes )

Find the roots of the quadratic equations given in Q.1 above by applying the quadratic formula.

Answer :

For a quadratic equation: ax2 + bx + c = 0,

The roots of equation is given by formula



i) 2x2 – 7x + 3 = 0


According to the quadratic formula;



The roots are =


=


=


The roots are 3 and


ii) 2x2 + x – 4 = 0


According to the quadratic formula;


=


The roots are =


= =


The roots are =


iii) 4x2 + 4√3x + 3 = 0


According to the quadratic formula;


=


The roots are =


=


The roots are


iv) 2x2 + x + 4 = 0


According to the quadratic formula;


=


The roots are =


=


This is not possible, Hence the roots do not exists.

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