Question

Write the nature of roots of the quadratic equation 9x2-6x-2=0

Answer 1

Answer is Served Hope it's gud

Answer 2

The nature of roots of the given quadratic equation is "real and unequal".

Step-by-step explanation:

The given quadratic equation:

$9x^2-6x-2=0$

Here, a = 9, b = - 6 and c = -2

To find, the nature of roots of the given quadratic equation = ?

∴ Discriminant, D =$b^{2} -4ac$

$=(-6)^{2} -4(9)(-2)$

$=36 -36(-2)$

$=36 -(-72)$

= 36 + 72

= 108

∵ D = 108 > 0, the roots are real and unequal.

Hence, the nature of roots of the given quadratic equation is "real and unequal".