Question

the discriminant (A) for the quadratic equation 3x+2x-9=0 is​

Answer 1

Answer:

a=3, b=2, c=9

discrimant=b^2-4ac

= (2) ^2-4(3) (9)

=4-108

=-104

Answer 2

Answer:

The discriminant of the equation is 40.

Step-by-step explanation:

• For a quadratic equation of the form $ax^{2} +bx+c=0$, the difference $b^{2}-4ac$ is called the discriminant.
• The discriminant is written as $\Delta=b^{2}-4ac$.
• The discriminant determines the nature of the roots of a quadratic equation.
• If $b^{2}-4ac > 0$, then the roots are real and distinct.
• If $b^{2}-4ac = 0$, then the roots are real and equal.
• If $b^{2}-4ac < 0$, then the roots are imaginary.

Given a quadratic equation $3x^{2} +2x-9=0$

Comparing this with the general form of quadratic equation, we have here a = 3, b = 2 and c = - 9

Therefore, the discriminant of the equation is

$\Delta=2^{2}-4\times 1\times (-9)$

$=4+36=40$

Hence, the discriminant of the equation is 40.