A few days ago

Anonymous

solving quadratic systems?

state which method substitution or elimination

then solve system

x^2=y^2=81

x=2y^2-162

Top 1 Answers

A few days ago

Anonymous

Favorite Answer

Method of substitution.

x^2 + y^2 = 81 …….(1)

x = 2y^2 – 162 ……(2)

From (1):

y^2 = 81 – x^2 …..(3)

Substitute for y^2 from (3) in (2):

x = 162 – 2x^2 – 162

2x^2 + x = 0

x(2x + 1) = 0

x = 0 or x = -1/2

Substitute for x in (1).

When x = 0:

y^2 – 81 = 0

(y – 9)(y + 9) = 0

y = +/- 9.

When x = -1/2:

y^2 = 81 – 1/4 = 323 / 4

y^2 – 323 / 4 = 0

(y – sqrt(323) / 2)(y + sqrt(323) / 2) = 0

y = +/- sqrt(323) / 2.

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