Question

(5-√x)² = y-20√2 Solve for x and y.

Answer 1

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