Question

What is the nature of the roots of 3x^2-5x+3=0

Answer 1

Answer:

here,

a= 3 ; b= -5 ; c=3

By using discriminate formula,

D = b^2 -4ac

= (-5)^2 -4*3*3

= 25-36

= -11

no it does not have real roots

Step-by-step explanation:

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Answer 2

||✪✪ QUESTION ✪✪||

What is the nature of the roots of 3x^2-5x+3 = 0 ?

|| ★★ FORMULA USED ★★ ||

If A•x^2 + B•x + C = 0 ,is any quadratic equation,

If A•x^2 + B•x + C = 0 ,is any quadratic equation,then its discriminant is given by :-

D = B^2 - 4•A•C

• If D = 0 , then the given quadratic equation has real and equal roots.

• If D > 0 , then the given quadratic equation has real and distinct roots.

• If D < 0 , then the given quadratic equation has unreal (imaginary) roots...

|| ✰✰ ANSWER ✰✰ ||

Given Equation is :- 3x² - 5x + 3 = 0

Here , we have :-

→ A = 3

→ B = (-5)

→ C = 3

So,

→ D = B^2 - 4•A•C

→ D = (-5)² - 4*3*3

→ D = 25 - 36

→ D = (-11)

As we Can see Now , D < 0.

Hence , we can say That, If D < 0 , then the given quadratic equation has unreal (imaginary) roots.