Question

determine o valor de delta das equações do 2 grau
a) 5x+3x²=4x-7
b)x²+4x=2.(x-1)
c) x.(2x-3)=4x-1
d) 4x.(x+3)+9=0

Answer 1

A). 5X+3X²=4X-7

=> 3X²+5X-4X+7=0

=>3X²+1X+7=0<=

↓DELTA↓

B²-4.A.C

(1)²-4.3.(7)

1-84

∆=> -83

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B) x²+4x=2.(x-1)

=> x²+4x=2x-2

=>x²+4x-2x+2

=>x²+2x+2=0<=

↓DELTA↓

(2)²-4.1.2

4-8=> -4

∆=-4

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C) X.(2X-3)=4X-1=>0

2X²+3X=4X-1=>0

2X²+1X+1=> 0

↓DELTA↓

(1)²-4.2.(1)

1-8
∆=> (-7)

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D)4x.(x+3)+9=0

4x²+12x+9=0

↓DELTA↓

(12)²-4.4.(9)

144-144

∆=> 0

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boa noite!! :)