Work out the discriminant for each equation and then determine whether each equation has two distinct roots, equal roots or no real roots a) 2x 3x 4 0 b) 5x 11x 4 0 c) x 12x 36 0 d) 2x x 2 0 e) 4x 5x 2 0 f) 4x 12x 9 0 g) 7x 2x 1 0 h) x 6x 7 0 i) 2x 4x 0 j) 6x 6x 1 k) 16x 24x 9 l) (x 2) 8x 2 0

Question: Work out the discriminant for each equation and then determine whether each equation has two distinct roots, equal roots or no real roots. a) 2x

Work out the discriminant for each equation and then determine whether each equation has two distinct roots, equal roots or no real roots.

a) 2x² – 3x + 4 = 0

b) 5x² – 11x + 4 = 0 -

c) x² + 12x + 36 = 0

d) 2x² + x – 2 = 0

e) 4x² + 5x + 2 = 0

f) 4x² – 12x + 9 = 0

g) 7x² – 2x + 1 = 0

h) x² – 6x + 7 = 0

i) 2x – 4x² = 0

j) 6x² = 6x – 1

k) 16x² = 24x – 9

l) (x + 2)² – 8x – 2 = 0

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The discriminant of a quadratic equation of the form ax2 bx c 0 is given by b2 4ac The discriminant helps us determine the nature of the roots of the ... View full answer

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