# The Discriminant ($b^2-4ac$) (Nature/Number of Roots)

- 1If the following equation has 2 real distinct roots, find k. $$kx^2+3x-5=0$$

Important lesson ! - 2If the following equation has no roots, (imaginary/complex roots), find k.$$2x^2+4x-k=0$$
- 3If the following equation has 2 real equal roots,(one root), find k.$$kx^2-5x+10=0$$
- 4If the following equation has no roots, (imaginary/complex roots), find k. $$2x^2+kx+2=0$$

Good test question ! - 5If the following equation has 2 real distinct roots, find k. $$8x^2-kx+2=0$$

Good test question ! - 6If the following equation has 2 real equal roots,(one root), find k.$$x^2+kx+25=0$$

$$e=mc^2$$