Math, asked by Prakhar2708, 10 months ago

Please answer the question in the attachment
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Answers

Answered by ananyakatiyar16
0

Answer:

Step-by-step explanation:

We know that if m and n are the roots of a quadratic equation ax  

2

+bx+c=0, the sum of the roots is m+n=−  

a

b

​  

 and the product of the roots is mn=  

a

c

​  

.

Here, the given quadratic equation x  

2

−6x+2=0 is in the form ax  

2

+bx+c=0 where a=1,b=−6 and c=2.

 

The sum of the roots is:

m+n=−  

a

b

​  

=−  

1

(−6)

​  

=6

The product of the roots is  

a

c

​  

 that is:

mn=  

a

c

​  

=  

1

2

​  

=2  

Now,  

m  

3

n  

2

+n  

3

m  

2

=m  

2

n  

2

(m+n)=(mn)  

2

(m+n)=2  

2

×6=4×6=24

Hence, the value of m  

3

n  

2

+n  

3

m  

2

=24.

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