Find the discriminant of each of the following equations:
$3 x^{2} - 2 x + 8 = 0$

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Solution

$3 x^{2} - 2 x + 8 = 0$

Compare given equation with the general form of quadratic equation, which is $a x^{2} + b x + c = 0$

Here, $a = 3, b = - 2, c = 8$

Determinant formula: $D = b^{2} - 4 a c$
$= (- 2)^{2} - 4.3.8$
$= 4 - 96$
$D = - 92$

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Find the discriminant of each of the following equations:3x2−2x+8=0

3x2−2x+8=0Compare given equation with the general form of quadratic equation, which is ax2+bx+c=0Here, a=3,b=−2,c=8Determinant formula: D=b2−4ac=(−2)2−4.3.8=4−96D=−92

Find the discriminant of each of the following equations:
$3 x^{2} - 2 x + 8 = 0$

$3 x^{2} - 2 x + 8 = 0$

Compare given equation with the general form of quadratic equation, which is $a x^{2} + b x + c = 0$

Here, $a = 3, b = - 2, c = 8$

Determinant formula: $D = b^{2} - 4 a c$
$= (- 2)^{2} - 4.3.8$
$= 4 - 96$
$D = - 92$