Question

calcule x na figura abaixo:

Answer 1

$\frac{x - 2}{6} = \frac{6}{x + 3} \\ \\ (x - 2) \times (x + 3) = 6 \times 6 \\ {x}^{2} + 3x - 2x - 6 = 36 \\ {x}^{2} + x -6 - 36 = 0 \\ {x}^{2} + x - 42 = 0 \\ \\ d = {b}^{2} - 4ac \\ d = {1}^{2} - 4 \times 1 \times ( - 42) \\ d = 1 + 168 \\ d = 169 \\ \\ x = \frac{ - b \frac{ + }{ - } \sqrt{d} }{2 \times a} \\ x = \frac{ - 1 \frac{ + }{ - } \sqrt{169} }{2 \times 1} \\ x = \frac{ - 1 \frac{ + }{ - }13 }{2} \\ \\ {x}^{1} = \frac{ - 1 + 13}{2} = \frac{12}{2} = 6 \\ \\ {x}^{2} = \frac{ - 1 - 13}{2} = \frac{ - 14}{2} = - 7$

$d = delta \\ {x}^{1} = x \: linha \: 1 \\ {x}^{2} = x \: linha \: 2$