Question

Find the discriminant of the equation 2x2 - 5x+3=0 and hence write
the nature of the roots​

Answer 1

Answer:

Discriminant=b2-4ac

a=2,b=5,c=3(Given in question)

=5 square -4×2×3

=25-24

=1

Nature of the roots are real and distinct because b2-4ac is greater than 0

Step-by-step explanation:

I hope this answer may help you

Answer 2

Answer:

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Given:-

⇢ Find the discriminant of the equation 2x2 - 5x+3=0 and hence write the nature of the roots.

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Step-by-step-explanation:-

⇢ $\rm{2x^{2} - 5x +3}$

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⇢ $\rm{b^{2} - 4 ac}$

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So as per the given,

• a = 2 ,
• b = -5,
• c = 3

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⇢ $\rm{(-5)^{2} - 4 \times 2 \times 3}$

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⇢ $\rm{25 - 24 = 1}$

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⇢ ${\boxed{\rm{Discriminant = 1}}}$

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Therefore, 1 is the discriminant.

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Also, we know that Discriminant is greater than 0, Hence 1 is the nature of the roots.