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