Question

find the value of discriminated for x²+7x+4=0​

Answer 1

Answer:

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Step-by-step explanation:

Given :-

x²+7x+4=0

Find :-

Discriminant of the given equation

Solution :-

We know that

the discriminant of the equation = b²- 4ac

Here in the given equation x²+7x+4=0

where

a = 1 , b = 7 , c = 4

Discriminant (∆) = b² - 4ac

$∆ = {b}^{2} - 4ac \\ = > ∆ = {7}^{2} - 4(1)(4) \\ = > ∆ = 49 - 16 \\ = > ∆ = 33$

Conclusion :-

Here Discriminant (∆) = 33 > 0 so, the roots of the equation x²+7x+4=0 are real and distinct