Question

Show that the equation x2+y2+z2 = 7 has no integer solutions. (Using mod)

Show that the equation x2+y2+z2 = 7 has no integer solutions.

(Using mod)

Homework Answers

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
Show that the equation x2+y2+z2 = 7 has no integer solutions. (Without mod)
Show that the equation x2+y2+z2 = 7 has no integer solutions. (Without mod)
write the equation of the cone z2=x2+y2 in sperical form
write the equation of the cone z2=x2+y2 in sperical form
show that the function f(x,y,z) = 1/√(x2+y2+z2) provides the equation fxx + fyy + fzz =...
show that the function f(x,y,z) = 1/√(x2+y2+z2) provides the equation fxx + fyy + fzz = 0, called the 3−D Laplace equation.
Which of the following congruences have solutions? a) x2 Congruent 7(mod 53) b) x2 Congruent 14(mod...
Which of the following congruences have solutions? a) x2 Congruent 7(mod 53) b) x2 Congruent 14(mod 31) c) x2 Congruent 53(mod 7) d) x2 Congruent 25(mod 997) All of them please!!
Write the equation of the sphere in standard form. x2 + y2 + z2 + 2x...
Write the equation of the sphere in standard form. x2 + y2 + z2 + 2x − 4y − 2z = 10 Find its center and radius. center     (x, y, z) = radius   
Write the equation of the sphere in standard form. x2 + y2 + z2 + 4x...
Write the equation of the sphere in standard form. x2 + y2 + z2 + 4x − 6y − 2z = 22 Find its center and radius. center     (x, y, z) = radius    
A) Show that the equation represents a sphere, find its center and radius: x2+y2+z2-2x-4y+8z=15 B) Find...
A) Show that the equation represents a sphere, find its center and radius: x2+y2+z2-2x-4y+8z=15 B) Find the equation of the sphere if one of its diameters is between the points (2,0,0) and (0,6,0) C) Describe in words or with a drawing the region represented by x2+y2=9, z= -2 D) Find the length of the sides of the triangle that passes through the following points and determine if it is a rectangle, isosceles, equilateral: (5,3,4), (7,1,3), (3,5,3)
Find all solutions in positive integers of the Diophantine equation x2 + 3y2 = z2
Find all solutions in positive integers of the Diophantine equation x2 + 3y2 = z2
Consider the unit sphere x2 +y2 +z2 = 1 and the cone (z+√2)2 = x2 +y2....
Consider the unit sphere x2 +y2 +z2 = 1 and the cone (z+√2)2 = x2 +y2. Show that these surfaces are tangent where they intersect, that is, for a point on the intersection, these surfaces have the same tangent plane.
Substances X2, Y2, and Z2 can all act as oxidizing agents. In solution X2 is green,...
Substances X2, Y2, and Z2 can all act as oxidizing agents. In solution X2 is green, Y2 is yellow, and Z2 is red. In the reactions in which they participate, they are reduced to X–, Y–, and Z– ions, all of which are colorless. A solution of X2 is mixed with one containing Y– ions. The color changes from green to yellow. a.         Write the net equation for the reaction. b.         Which species is oxidized? c.         Which species is the...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT