Question

The discriminant value of 2x2 - 13x + 3 = 0 is

Answer 1

Answer:

See the attached picture..

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Answer 2

Answer:

The value of discriminant is 145.

Step-by-step-explanation:

The given quadratic equation is

2x² + 13x + 3 = 0.

2x² - 13x + 3 = 0

Comparing with ax² + bx + c = 0, we get,

• a = 2,

• b = - 13

• c = 3

Now, we know that,

Discriminant ( Δ ) = b² - 4ac

⇒ Δ = ( - 13 )² - 4 × 2 × 3

⇒ Δ = 169 - 8 × 3

⇒ Δ = 169 - 24

⇒ Δ = 145

∴ The value of discriminant is 145.

Additional Information:

1. Quadratic Equation:

An equation having a degree '2' is called quadratic equation.

The general form of quadratic equation is

ax² + bx + c = 0

Where, a, b, c are real numbers and a ≠ 0.

2. Roots of Quadratic Equation:

The roots means nothing but the value of the variable given in the equation.

3. Methods of solving quadratic equation:

There are mainly three methods to solve or find the roots of the quadratic equation.

A) Factorization method

B) Completing square method

C) Formula method

4. Formula to solve quadratic equation:

$\boxed{\red{\sf\:x\:=\:\dfrac{-\:b\:\pm\:\sqrt{b^{2}\:-\:4ac}}{2a}}}$

5. Value of Δ and nature of roots:

$\begin{array}{|c|c|}\cline{1-2}{\sf\:\triangle = \sf\:0 & \sf\:Real\:and\:equal}\\\cline{1-2}{\sf\:\triangle > 0 & \sf\:Real\:and\:unequal}\\\cline{1-2}{\sf\:\triangle < 0 & \sf\:Not\:real}\\\cline{1-2}\end{array}$