Question

Find the value of the discriminant (∆) for the quadratic equation

x

2 + 2x + 6 = 0.​

Answer 1

$\huge\tt\purple{★ SOLUTION : }$

Given that,

Find the discrimination (∆) of x² + 2x + 6 = 0

Let,

• a = 1
• b = 2
• c = 6

☯ Discrimination (∆) = b² - 4ac

➡ (2)² - 4(1)(6)

➡ 4 - 24

➡ - 24

$\boxed{∴∆ < 0,no \: real \: roots}$

Step-by-step explanation:

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Answer 2

Answer:

-20

Step-by-step explanation:

Find the discriminant for

${x}^{2} + 2x + 6 = 0$

Solution:-

a = 1 ; b = 2 ; c = 6

By the quadratic formula:-

${b}^{2} - 4ac$

Now substitute the values,

${2}^{2} - 4(1 \times 6)$

${2}^{2} - 4(6)$

$4 - 24$

$= - 20$

Therefore the discriminant for the quadratic equation is - 20

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