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Part of 2002 Regional Competition For Advanced Students

Problems(1)

5x5 system, 2x_1=x_5^2-23, 4x_2=x_1^2+7, 6x_3=x_2^2+14 ,8x_4=x_3^2+23,

Source: Austrian Regional Competition For Advanced Students 2002 p2

Solve the following system of equations over the real numbers:

2x_1 = x_5 ^2 - 23

4x_2 = x_1 ^2 + 7

6x_3 = x_2 ^2 + 14

8x_4 = x_3 ^2 + 23

10x_5 = x_4 ^2 + 34

system of equationsalgebra