Answer:
Discriminant = 76
Step-by-step explanation:
The formula for the discriminant is ( b^2 - 4ac)
here in 6x^2 - 2x - 3
a = 6, b = -2, c = -3
discriminant D = (b^2 - 4ac)
D = ( (-2)^2 - 4*6*(-3) ) = ( 4 + 72) = (76)
from MysticChaCha
The discriminant of the given equation 6x² -2x -3 = 0 is 76. The correct option is the third option, 76
Given a quadratic equation of the form, [tex]ax^{2} +bx + c = 0[/tex]
The discriminant, D is given by the formula
[tex]D = b^{2} -4ac[/tex]
Now, from the question,
To determine the discriminant of 6x2 - 2x - 3 = 0
First, we will write the given equation properly
The equation is [tex]6x^{2} -2x -3 =0[/tex]
Now, we will determine the values of a, b and c by comparing the given equation to the given form of quadratic equation above.
Comparing [tex]ax^{2} +bx + c = 0[/tex] to [tex]6x^{2} -2x -3 =0[/tex]
a = 6, b = -2 and c = -3
Now, we will put the values into the formula for finding discriminant
[tex]D = b^{2} -4ac[/tex]
∴ [tex]D = (-2)^{2} -4(6)(-3)[/tex]
[tex]D = 4 - (24)(-3)[/tex]
[tex]D = 4 + 72[/tex]
D = 76
∴ The discriminant D is 76
Hence, the discriminant of the given equation 6x² -2x -3 = 0 is 76. The correct option is the third option, 76
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