solve the simultaneous equations:
y=x-2
ysquared+xsquared=10
y = x - 2
y ^ 2 + x ^ 2 =10
( x - 2 ) ^ 2 + x ^ 2 = 10
x ^ 2 - 2 * 2 x + 2 ^ 2 + x ^ 2 = 10
2 x ^ 2 - 4 x + 4 = 10
2 x ^ 2 - 4 x + 4 - 10 = 0
2 x ^ 2 - 4 x - 6 = 0
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2 x ^ 2 - 4 x - 6 = 0
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The solutions are:
x = - 1
and
x = 3
For x = -1
y = x - 2 = -1 - 2 = -3
For x = 3
y = x - 2 = 3 - 2 = 1
So the solutios are :
x = -1 , y = -3
and
x = 3 , y = 1