Question

Find the discriminant of the quadratic equation: x² + 4x + 2 = 0​

Answer 1

Answer:

$given \\ \\ {x}^{2} + 4x + 2 = 0 \\ \\ here \: a = 1 \\ \\ b = 4 \\ \\ c = 2 \\ \\ so \: discriminant \\ \\ = {b}^{2} - 4ac \\ \\ = {(4)}^{2} - 4 \times 1\times 2 \\ \\ = 16 - 8 \\ \\ = 8$

hope this much helps uh ❣️

Answer 2

Given Equation

• x² + 4x + 2 = 0

⠀

To find

• Discriminant (D) of the given equation.

⠀

Solution

• We have a quadratic equation, and we need to find the discriminant.

⠀

Here,

• a = 1
• b = 4
• c = 2

⠀

⠀⠀⠀⠀⠀Using Formula

⠀

$\: \: \: \: \: \: \: \: \: \: \: \: \: \: \boxed{\tt{\bigstar{D = b^2 - 4ac{\bigstar}}}}$

⠀

$\tt:\implies\: \: \: \: \: \: \: \: {D = (4)^2 - 4 \times 1 \times 2}$

⠀

$\tt:\implies\: \: \: \: \: \: \: \: {D = 16 - 8}$

⠀

$\bf:\implies\: \: \: \: \: \: \: \: {D = 8}$

⠀

Hence,

• The discriminant of the given equation is 8.

━━━━━━━━━━━━━━━━━━━━━━