Odpowiedź:
(x+1)²/3 = (x+4)²/7 - 1 /× 21
7(x+1)²=3(x+4)² - 21
7(x²+2x+1)=3(x²+8x+16)-21
7x²+14x+7=3x²+24x+48-21
4x²-10x-20=0 /÷2
2x² - 5x -10 =0 a=2,b=-5, c=-10
Δ=25+80=105 , √Δ=√105
x₁=(5+√105)/4
∨
x₂=(5-√105)/4
Odp. x₁=(5+√105)/4 ∨ x₂=(5-√105)/4
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Odpowiedź:
(x+1)²/3 = (x+4)²/7 - 1 /× 21
7(x+1)²=3(x+4)² - 21
7(x²+2x+1)=3(x²+8x+16)-21
7x²+14x+7=3x²+24x+48-21
4x²-10x-20=0 /÷2
2x² - 5x -10 =0 a=2,b=-5, c=-10
Δ=25+80=105 , √Δ=√105
x₁=(5+√105)/4
∨
x₂=(5-√105)/4
Odp. x₁=(5+√105)/4 ∨ x₂=(5-√105)/4