Question

the discriminant D of the equation 2x2 - x + 6​

Answer 1

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★ Sᴏʟᴜᴛɪᴏɴ :-

Given ,

Polynomial = 2x² - x + 6

We need to find , the discriminant (∆ or D)

As we know that

Dicriminant = b² - 4ac

Where,

• b → coefficient of x² = - 1
• a → coefficient of x = 2
• c → Constant term = 6

Substituting the values we have,

➮ (-1)² - 4(2)(6)

➮ 1 - 8(6)

➮ 1 - 48

➮ ∆ = - 47

Hence , discriminant of the given quadratic equation is - 47.

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Answer 2

☘ Correct Question :-

Find the Discriminant Of 2x² - x + 6.

☘ Solution :-

☯️ We know that,

Discriminant = b² - 4ac

Here,

a = 2.

b = -1.

c = 6.

Substituting their values, We get,

⇒ (-1)² - 4 × 2 × 6.

⇒ 1 - 48.

⇒ -47.

Hence, Discriminant Of the Given Quadratic Equation = -47.