Question

Determine o valor das equações abaixo (com cálculo) URGENTE!!

a)x²+3x-54=0
b)x²-x+2=0
C)-3x²-5x+1=0
d)x²-5x+6=0

Answer 1

Resposta:

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Answer 2

Resposta:

Explicação passo a passo:

a) x2+3x−54=0

(1)⋅x2+(3)⋅x+(−54)=0

x=−(3)±(3)2−4⋅(−54)−−−−−−−−−−−−−−√2

x=−3±9−(−216)−−−−−−−−−−√2

x=−3±225−−−√2

x=−3±(15)2

x1=122=(2)

⋅(6)(2)=6

x2=−182=(2)

⋅(−9)(2)=−9

b) x2−x+2=0

(1)⋅x2+(−1)⋅x+(2)=0

x=−(−1)±(−1)2−4⋅(2)−−−−−−−−−−−−−√2

x=1±1−(8)−−−−−−√2

x=1±−7−−−√2

c) −3x2−5x+1=0

(−3)⋅x2+(−5)⋅x+(1)=0

x=−(−5)±(−5)2−4⋅(−3)−−−−−−−−−−−−−−−√2⋅(−3)

x=5±25−(−12)−−−−−−−−−−√−6

x=−5±37−−√6

x1=−5+37−−√6

x2=−5−37−−√6

d) x2−5x+6=0

(1)⋅x2+(−5)⋅x+(6)=0

x=−(−5)±(−5)2−4⋅(6)−−−−−−−−−−−−−√2

x=5±25−(24)−−−−−−−−√2

x=5±1–√2

x=5±(1)2

x1=62=(2)

⋅(3)(2)=3

x2=42=(2)

⋅(2)(2)=2