Explicație pas cu pas:
AB=
[tex] \sqrt{(x2 - x1) {}^{2} + (y2 - y1) {}^{2} } = 4 \sqrt{2} [/tex]
=>
[tex] \sqrt{x {}^{2} + 4 \times x + 4 + 4 \times 4 \times x + x {}^{2} } = 4 \sqrt{2} [/tex]
[tex] \sqrt{2 \times x {}^{2} + 8 \times x + 8 } = 4 \sqrt{2} [/tex]
[tex]2\times{}^{2} + 8 \times x +8 = 16 \times 2 [/tex]
[tex]x {}^{2} + 4 \times x + 4 = 16[/tex]
[tex]x {}^{2} + 4 \times x - 12 = 0[/tex]
[tex]x1 = - 6 \\x2 = 2[/tex]
(inlouieste x cu m dupa "=>")