Question

resolva as equações do 2° grau em R.
a)x²-8x+15=0
b)x²+10x+25=0
c)3x²+4x+1=0
d)-x²+12x-20=0​

Answer 1

Resposta:

Explicação passo-a-passo:

Utilizando a formula de baskara temos

a)x= $\frac{-8 +;-\sqrt{64- 4.15.1} }{2.1}$

$\frac{-8 +:- \sqrt{4} }{2}$

$\frac{-8+:- 2}{2}$

x1= -8+2/2 = -3

x2= -8-2/2= -5

b) x= $\frac{-10 +/- \sqrt{100 - 4.25.1} }{2.1}$

x= $\frac{- 10}{2}$ = -5

c)x= $\frac{-4+/- \sqrt{16- 4.3.1} }{2.3}$

$\frac{-4 +/- \sqrt{4} }{6}$

$\frac{-4 +/- 2}{6}$

x1= -4 +2/6 = -1/3

x2= -4-2/6= -1

d) x= $\frac{-12+/- \sqrt{144- 4.20.-1} }{2.-1}$

$\frac{-12+/- \sqrt{224} }{-2}$

$\frac{-12+/- 4\sqrt{14} }{-2}$

$-6 +/- 2\sqrt{14}$

x1= -6 - 2$\sqrt{14}$

x2= -6 + 2$\sqrt{14}$