Math, asked by pokeset10, 1 month ago

By which smallest number must 155727 be divided so that the quotient is perfect cube?
Also find the cube root of the number so obtained

Answers

Answered by mohdhubaib77
0

Answer:

Given equation:

5

x

2

3

=

10

x

Subtract

10

x

from both sides of the above equation.

5

x

2

3

10

x

=

10

x

10

x

5

x

2

10

x

3

=

0

Comparing the obtained equation with quadratic equation

a

x

2

+

b

x

+

c

=

0

, we have:

a

=

5

b

=

10

c

=

3

Substitute all the obtained values in the quadratic formula.

x

=

b

±

b

2

4

a

c

2

a

=

(

10

)

±

(

10

)

2

4

(

5

)

(

3

)

2

(

5

)

=

10

±

100

+

60

10

=

10

±

160

10

=

10

±

4

10

10

=

10

+

4

10

10

,

10

4

10

10

=

2

(

5

+

2

10

)

10

,

2

(

5

2

10

)

10

=

5

+

2

10

5

,

5

2

10

5

Thus, the solution of the quadratic equation is

x

=

5

+

2

10

5

,

5

2

10

5

.

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