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How do you solve x - y = 4 and y = x² - 34?

1 Answer

José Roberto Pereira

Oct 17, 2015

For #x_1=6 => y_1=2#
For #x_2=-5 => y_2=-9#

Explanation:

#-y=-x+4# (1)
#y=x^2-34# (2)

Adding (1)+(2):

#0 = x^2-x-30#

Solving the quadratic equation:

#x_1=6#
#y_1=6^2-34=2#

#x_2=-5#
#y_2=(-5)^2-34=-9#

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