Question

Find the discriminant of the following quadratic equation 3x² - 6x + 2 = 0​

Answer 1

Answer:

Given :-

• 3x² - 6x + 2 = 0

To Find :-

• What is the discriminate of the following quadratic equation.

Formula Used :-

$\clubsuit$ Discriminant Formula :

$\mapsto \sf\boxed{\bold{\pink{Discriminant\: (D) =\: b^2 - 4ac}}}$

Solution :-

Given Equation :

$\bigstar\: \: \sf\bold{\purple{3x^2 - 6x + 2 =\: 0}}$

where,

• a = 3
• b = - 6
• c = 2

According to the question by using the formula we get,

$\longrightarrow \sf Discriminant\: (D) =\: (- 6)^2 - 4(3)(2)$

$\longrightarrow \sf Discriminant\: (D) =\: (- 6)(- 6) - 4 \times 3 \times 2$

$\longrightarrow\sf Discriminant\: (D) =\: 36 - 12 \times 2$

$\longrightarrow \sf Discriminant\: (D) =\: 36 - 24$

$\longrightarrow \sf\bold{\red{Discriminant\: (D) =\: 12 > 0}}$

$\therefore$ The discriminant is 12.

The nature of the quadratic equation is real and unequal.

Answer 2

Step-by-step explanation:

3x² - 6x + 2 = 0

ax² + bx + c = 0-----------(1)

The given equation comparing to equation (1)

a = 3, b = -6 & c = 2

∆ = b² - 4ac

= (-6)² - 4×3×2

= 36 - 24

=12