If x2 - y2 = 58 and x-y = 4 what is the average of x and y
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x2-y2=58
(x-y)(x+y)=58
4(x+y)=58 (since x-y=4)
x+y=58/4
x=58/4 -y
x-y=4
58/4 -y-y=4. (on putting
value of x)
-2y=4-58/4
=(16-58)/4
=(-42/4)
y= (-42/4)/-2=21/8
x=58/4-y
=58/4-21/8=37/2
(x-y)(x+y)=58
4(x+y)=58 (since x-y=4)
x+y=58/4
x=58/4 -y
x-y=4
58/4 -y-y=4. (on putting
value of x)
-2y=4-58/4
=(16-58)/4
=(-42/4)
y= (-42/4)/-2=21/8
x=58/4-y
=58/4-21/8=37/2
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