Answer:

1. -6x² + 7x + 3 = 0

D= (7)² - 4(-6)(3) = 49 + 72 = 121

Nature of roots: real, rational and unequal.

2. 9x² - 3x + 2 = 0

D= (-3)² - 4(9)(2) = 9 - 72 = -63

Nature of roots: non-real or imaginary and unequal.

3. -2x² - 8x - 8 = 0

D= (-8)² - 4(-2)(-8) = 64 - 64 = 0

Nature of roots: real, rational and equal.

4. 2x² + 5x - 4 = 0

D= (5)² - 4(2)(-4) = 25 + 32 = 57

Nature of roots: real, irrational and unequal.

5. 9x² - 6x + 1 = 0

D= (-6)² - 4(9)(1) = 36 - 36 = 0

Nature of roots: real, rational and equal.

#CarryOnLearning