Question

(x+2) + 3 x (x+3)= 27 ​

Answer 1

Răspuns:

x = 4

Explicație pas cu pas:

(x + 2) + 3 × (x + 3) = 27

x + 2 + 3x + 9 = 27

4x + 11 = 27

4x = 27 - 11

4x = 16

x = 16 : 4 = 4

Answer 2

Răspuns:

$( x + 2 ) + 3 x ( x + 3 ) = 27$

$x+2+3x^{2}+9x=27$

$10x+2+3x^{2}=27$

$10x+2+3x^{2}-27=0$

$10x-25+3x^{2}=0$

$3x^{2}+10x-25=0$

$x=\frac{-10±\sqrt{10^{2}-4\times 3\left(-25\right)}}{2\times 3}$

$x=\frac{-10±\sqrt{100-4\times 3\left(-25\right)}}{2\times 3}$

$x=\frac{-10±\sqrt{100-12\left(-25\right)}}{2\times 3}$

$x=\frac{-10±\sqrt{100+300}}{2\times 3}$

$x=\frac{-10±\sqrt{400}}{2\times 3}$

$x=\frac{-10±20}{2\times 3}$

$x=\frac{-10±20}{6}$

$x=\frac{10}{6}$

$x=\frac{5}{3}$

$x=\frac{-30}{6}$

$x=-5$

$x=\frac{5}{3} x=-5$