Question

find the nature of the root of 15x²+11x+2=0​

Answer 1

Answer:

here the roots are real and unequal

Answer 2

Answer:

$15x ^{2} + 11x + 2 = 0$

$15x ^{2} + 5x + 6x + 2 = 0$

$5x(3x + 1) + 2(3x + 1) = 0$

$(3x + 1)(5x + 2) = 0$

$3x + 1 = 0 \: or \: 5x + 2 = 0$

$x = \frac{1}{3} \: or \: x = \frac{2}{5}$

Therefore the nature of the root is real and unequal