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VMariaS [17]
2 years ago
14

(5-√x)² = y-20√2 Solve for x and y.

Mathematics
1 answer:
gizmo_the_mogwai [7]2 years ago
4 0

Answer:

33

Step-by-step explanation:

(

5

−

√

x

)

2

=

5

2

−

(

2

×

5

×

√

x

)

+

x

=

25

−

10

√

x

+

x

=

(

x

+

25

)

−

10

√

x

In order to eliminate the irrational

−

20

√

2

term with

x

and

y

being integers, we must have:

−

10

√

x

=

−

20

√

2

Divide both sides by

−

10

to get:

√

x

=

2

√

2

So

x

=

(

2

√

2

)

2

=

8

y

=

x

+

25

=

8

+

25

=

33

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