Question

resolva as equações do 2 grau pela formula baskara
a) $x^{2} -6x+5=0$
b)$3x^{2} +4x+1=0$
c)$x^{2} -8x+16=0$
d)$x^{2} -13x+22=0$
e)$-x^{2}+10x-25=0$

Answer 1

a) x²-6x+5

∆= (-6)²-4.1.5

∆= 36-20

∆= 16

x= 6±4/2

x'= 10/2= 5

x"= 2/2 = 1

b) 3x²+4x+1= 0

∆= 4²-4.3.1

∆= 16-12

∆= 4

x= -4±2/6

x'= -2/6= -1/3

x"= -6/6= -1

c) x²-8x+16= 0

∆= (-8)²-4.1.16

∆= 64-64

∆= 0

x= 8±0/2

x' e x"= 8/2= 4

d) x²-13x+22= 0

∆= (-13)²-4.1.22

∆= 169-88

∆= 81

x= 13±9/2

x'= 22/2= 11

x"= 4/2= 2

e) -x²+10x-25(-1)

x²-10x+25= 0

∆= (-10)²-4.1.25

∆= 100-100

∆= 0

x= 10±0/2

x' e x"= 10/2= 5

espero ter ajudado