Question

EQUAÇÕES DO ²GRAU
a)3x²-300=0
b)-4x²+100=0
c)5x²-180=0
d)7x²-14x=0
e)10x²+80x=0

com calculos​

Answer 1

Resposta:

$3x^2-300=0$

$3x^2=300$

$x^2 = 100$

$\mathrm{Para\:}x^2=f\left(a\right)\mathrm{\:as\:solucoes\:sao\:}x=\sqrt{f\left(a\right)},\:\:-\sqrt{f\left(a\right)}$

$x=\sqrt{100},\:x=-\sqrt{100}$

______________________________________________________________________________________________________________________________________________________________________________

$-4x^2+100=0$

$-4x^2=-100$

$\frac{-4x^2}{-4}=\frac{-100}{-4}$

$x=5,\:x=-5$

______________________________________________________________________________________________________________________________________________________________________________

$5x^2-180=0$

$5x^2=180$

$x^2 = 36$

$x=\sqrt{36},\:x=-\sqrt{36}$

$x=6,\:x=-6$

______________________________________________________________________________________________________________________________________________________________________________

essa nao da pra fazer desse jeito krlh po.h@ búc3t4.

bhaskara entao:

$7x^2-14x=0$

$x_{1,\:2}=\frac{-\left(-14\right)\pm \sqrt{\left(-14\right)^2-4\cdot \:7\cdot \:0}}{2\cdot \:7}$

$x_{1,\:2}=\frac{-\left(-14\right)\pm \:14}{2\cdot \:7}$

$x_1=\frac{-\left(-14\right)+14}{2\cdot \:7},\:x_2=\frac{-\left(-14\right)-14}{2\cdot \:7}$

$x=2,\:x=0$

______________________________________________________________________________________________________________________________________________________________________________

$x_{1,\:2}=\frac{-80\pm \sqrt{80^2-4\cdot \:10\cdot \:0}}{2\cdot \:10}$

$x_{1,\:2}=\frac{-80\pm \:80}{2\cdot \:10}$

$x_1=\frac{-80+80}{2\cdot \:10},\:x_2=\frac{-80-80}{2\cdot \:10}$

$x=0,\:x=-8$