Question

Resolva a equação = | x x ||5 x | = 150Me ajudem por favor

Answer 1

| x x |

| 5 x | = 150

x² - 5x = 150

x² - 5x -150 = 0

Δ = (-5)² - 4.1.(-150)

Δ = 25 + 600

Δ = 625

x = (5 +- 25)/2

x1 = -10

x2 = 15

Answer 2

Explicação passo-a-passo:

$\sf x\cdot x-x\cdot5=150$

$\sf x^2-5x=150$

$\sf x^2-5x-150=0$

$\sf \Delta=(-5)^2-4\cdot1\cdot(-150)$

$\sf \Delta=25+600$

$\sf \Delta=625$

$\sf x=\dfrac{-(-5)\pm\sqrt{625}}{2\cdot1}=\dfrac{5\pm25}{2}$

$\sf x'=\dfrac{5+25}{2}~\Rightarrow~x'=\dfrac{30}{2}~\Rightarrow~\red{x'=15}$

$\sf x"=\dfrac{5-25}{2}~\Rightarrow~x"=\dfrac{-20}{2}~\Rightarrow~\red{x"=-10}$

$\sf S=\{-10,15\}$