What is the discriminant of the equation:

\[ 2x^2 + 3x + 10 = 0 \]

Question : What is the discriminant: 2x^2 + 3x + 10=0 Answer : from the matter we know that : a = 2 b = 3 c = 10
discriminant formula is : b 2 − 4 a c
= 3 2 − 4 ( 2 ) × 10
= 9 − 8 × 10
= 9 − 80
= − 71

Answered by Icuk18sugiarto | 2024-06-10

The discriminant of a quadratic equation is:
b 2 − 4 a c
Plug in the values.
3 2 − 4 ( 2 ) ( 10 )
= 9 − 80
= − 71
Since the discriminant is negative, you can tell that the quadratic has no real solutions.
Hope that helped!
~Cam943, Moderator

Answered by Cam943 | 2024-06-10

The discriminant of the equation 2 x 2 + 3 x + 10 = 0 is − 71 . A negative discriminant indicates that the equation has no real solutions, only complex ones. Thus, the graph of the equation does not touch or cross the x-axis.
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Answered by Icuk18sugiarto | 2024-12-18