Question

Equação 2 grau completa
A) x² + 5x + 6 = 0
B)4x² -4x -3 =0
C) x² - 13x +36 = 0
D) x ² - 45x + 324=0

Answer 1

Explicação passo-a-passo:

A ) X*2 + 5x + 6 = 0

a = 1

b = 5

c = 6

∆ = b*2 -4ac

∆ = 5*2 - 4 × 1 × 6

∆ = 25 - 24

∆ = 1

X = - b +/- ✓∆

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2a

X' = -(5) +/- √ 1

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2 × 1

X' = -5 +/- 1

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2

X' = -2.

X" = - 3

B ) 4x² -4x -3 =0

a = 4

b = -4

c = -3

∆ = b*2 - 4ac

∆ = -4*2 - 4 × 4 × (-3)

∆ = 16- 16 × (-3)

∆ = 16- 16 x (-3)

∆ = 16 + 48

∆ = 64

X = - b +/- ✓∆

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2a

X = - (-4)+/- ✓64

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2 × 4

X = 4+/- 8

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8

X = 4+/- 8

--------------- ÷ ( 8)

8

X = 4+/- 1

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1

X' = 4 + 1 = 5

X" = 4 - 1 = 3

C) x² - 13x +36 = 0

a = 1

b = -13

c= 36

∆ = b*2 - 4ac

∆ = -13*2 - 4 × 1 × 36

∆ = -169 - 144

∆ = 25

X = -b +/- ✓∆

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2a

X = - (-13)+/- ✓25

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2 × 1

X '=. 9

X "= 4

D) x ² - 45x + 324=0

a = 1

b = -45

c = 324

∆ = b*2 - 4ac

∆ = -45*2 - 4 × 1 × 324

∆ = -45*2 - 4 × 1 × 324

∆ = 2025 - 4 × 1 × 324

∆ = 2025 - 1296

∆ = 729

X = - b +/- ✓∆

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2a

X = - (45) +/- ✓729

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2 × 1

X = - 45+/- 27

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2

X' = - 9.

X" = - 36