Solve a Simultaneous System involving Linear & Quadratic Equations - Substitution Method

[villegekihandivlog]

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[banazamalsadiwala]

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[devondevon]

Ans x=3/5 or 0.6 and x= -3
y= 3 +2x (given)
y^2= 4x^2 + 12x+ 9
Since x^2 + y^2 =18 (given) then x^2 + (4x^2 + 12x + 9) =18 (substituting y^2 into equation)
5x^2 + 12x+9 =18
5x^2 +12x-9 = 0
(5x-3)(x+3)= 0
5x-3=0 then 5x=3 and x=3/5
x+3= 0 then x= -3
Answer x=3/5 or 0.6 AND x= -3