Question

find the product of the roots of the quadratic equation root 2 x square _3x+5 root 2=0​

Answer 1

Step-by-step explanation:

2x

2

−3x+5=0

Sum of the roots =

a

−b

=

2

3

Product of the roots =

a

c

=

2

5

Let p+q=

2

3

,pq=

2

5

ax

2

+bx+2=0

Let

p

1

,

q

1

be the roots

The roots are reciprocal, therefore,

pq

p+q

=

2

3

÷

2

5

=

5

3

=

a

−b

∴−5b=3a

pq

1

=

a

2

=

5

2

∴a=5,b=−3

The new qudratic equation is :5x

2

−3x+2=0

Verification:

Sum=

5

3

,Product=

5

2

Answered By

toppr

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Answer 2

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