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(2√2 ,0)
a^2-2ab-(b+8)=0quadratic equation in terms aa= [2b+(Δ)^1/2]/2a= [2b -(Δ)^1/2]/2Δ=(4b^2+4b+32] Δ=c^24b^2+4b+32=c^24b^2+4b+1-c^2=-31(2b+1)^2-c^2=-31(2b+1+c)(2b+1-c)=-31A2b+1+c = 12b+1-c =-31 -----------‐----------4b+2 = -30, 4b = -32, b = -8Δ=4b^2+4b+32, Δ = 256, (Δ)^1/2=16a = 0 , a = -16B 2b+1+c= - 12b+1- c= + 31 ------------------------b = 7a = 15, a = -1
(2√2 ,0)
a^2-2ab-(b+8)=0
quadratic equation in terms a
a= [2b+(Δ)^1/2]/2
a= [2b -(Δ)^1/2]/2
Δ=(4b^2+4b+32] Δ=c^2
4b^2+4b+32=c^2
4b^2+4b+1-c^2=-31
(2b+1)^2-c^2=-31
(2b+1+c)(2b+1-c)=-31
A
2b+1+c = 1
2b+1-c =-31
-----------‐----------
4b+2 = -30, 4b = -32, b = -8
Δ=4b^2+4b+32, Δ = 256, (Δ)^1/2=16
a = 0 , a = -16
B
2b+1+c= - 1
2b+1- c= + 31
------------------------
b = 7
a = 15, a = -1