Question

The discriminant of 3 x^ 2 – 4 x -2=0 is
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Answer 1

Given :

• 3x²-4x-2 = 0

To find :

• Discriminant of the given quadratic equation

Formula used :

$\rm D = {b}^{2} - 4ac$

Where :-

• D = discriminant

• a = coefficient of x²

• b = coefficient of x

• c = constant

Solution :

Discriminant of the quadratic equation 3x²-4x-2 = 0

$\rm \implies D = {b}^{2} - 4ac$

Now put :-

• b = -4
• a = 3
• c = -2

$\rm \implies D = {( - 4)}^{2} - 4(3)( - 2)$

$\rm \implies D = 16 + (4 \times 6)$

$\rm \implies D = 16 + 24$

$\rm \implies D = 40$

Answer :

Discriminant of the given quadratic equation = 40

Answer 2

$\large\bf\purple{ \underline{Given :-}}$

• The quadratic equation → $\sf{3 {x}^{2} - 4x - 2=0}$

$\large \bf\pink{\underline{To \: Find :-}}$

• The discriminant of the given equation.

$\large\bf \orange{\underline{Solution :-}}$

If

• D = Discriminant
• a = coefficient of $\sf {x}^{2}$
• b = coefficient of $\sf {x}$
• c = constant

$\red {\bigstar \bf{ \: D = {b}^{2} - 4ac}}$

Here,

• a = 3
• b = - 4
• c = - 2

$\sf{∴D = {( - 4)}^{2} - 4 \times 3 \times ( - 2)}$

$\sf{ D =16 + 24 }$

$\sf{D = 40}$

$\sf \green{Therefore, \: the \: discriminant \: is \: 40 . }$