*Quadratic equation ax2 + bx + c = 0 (a, b & c ε R with a ≠ 0) b 2 – 4 a c = D (discriminate)
*Quadratic equation
ax2 + bx + c = 0 (a, b & c ε R with a ≠ 0)
b 2 – 4 a c = D (discriminate)
Roots of quadratic are
The following 6 situations may arise.
If D > 0, then roots are real & unequal.
If D < 0, then roots are imaginary & unequal.
If D = 0, then roots are real & equal.
If D > 0 & a perfect square, then roots are rational.
If D > 0 & not a perfect square, then roots are irrational.
If a = 1, b & c are integers, then roots are rational.
