Question

(x+2).(x+3)=3x+5

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Answer 1

Resposta:

$x = - 1$

Explicação passo-a-passo:

$(x + 2) \times (x + 3) = 3x + 5$

${x}^{2} + 3x + 2x + 6 = 3x + 5$

${x}^{2} + 2x + 6 = 5$

${x}^{2} + 2x + 6 - 5 = 0$

${x}^{2} + 2x + 1 = 0$

$x = \frac{ - 2± \sqrt{ {2}^{2} - 4 \times 1 \times 1 } }{2 \times 1}$

$x = \frac{ - 2± \sqrt{ {2}^{2} - 4 \times 1 } }{2 \times 1}$

$x = \frac{ - 2± \sqrt{ {2}^{2} - 4} }{2 \times 1}$

$x = \frac{ - 2± \sqrt{ {2}^{2} - 4} }{2}$

$x = \frac{ - 2± \sqrt{4 - 4} }{2}$

$x = \frac{ - 2± \sqrt{0} }{2}$

$x = \frac{ - 2±0}{2}$

$x = \frac{ - 2}{2}$

$x = - 1$