Question

Resolver as equações pela fórmula de bhaskara:
A- 8x²-10x+3=0
B- x²+5x-6=0
C- x²-6x+9=0

Answer 1

A) 8x² - 10x + 3 = 0


delta = b² - 4.a.c

a = 8
b = -10
c = 3


delta = (-10)² - 4.8.3
delta = 100 - 96
delta = 4


x = -b ± √delta/2.a

x = -(-10) ± √4/2.8

x = 10 ± 2/16

x = 10 - 2/16 = 8/16 = 1/2

x = 10 + 2/16 = 12/16 = 3/4


S={ 1/2, 3/4 }
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B) x² + 5x - 6 = 0

a = 1
b = 5
c = -6

delta = 5² - 4.1.(-6)
delta = 25 + 24
delta = 49

x = -5 ± √49/2.1

x = -5 ± 7/2

x = -5 - 7/2 = -12/2 = -6

x = -5 + 7/2 = 2/2 = 1


S={ -6, 1 }
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C) x² - 6x + 9 = 0

a = 1
b = -6
c = 9

delta = (-6)² - 4.1.9
delta = 36 - 36
delta = 0

x = -(-6) ± √0/2.1

x = 6 ± 0/2 = 6/2 = 3


S={ 3 }




☆Espero ter ajudado! tmj