Resposta:
A) -5x +20 = 0
a = 0 b = -5 c = 20
Δ = b² - 4.a.c
Δ = (-5)² - 4.0.20
Δ = 25 - 0
Δ = 25
x = -b +- √Δ / 2.a
x = -(-5) +- √25 / 2.0
x = +5 +- 5 / 0
x' = +5 -5 / 0
x' = 0/0
x' = 0
x'' = +5 +5 / 2.a
x'' = +10/2.0
x'' = +10/0
x'' = +10
S [ 0, +10 }
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B) x²-9x +20 = 0
a = 1 b = -9 c = 20
Δ = (-9)² -4.1.20
Δ = 81 - 80
Δ = 1
S = { 0, 10 }
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C) x² -3x -10 = 0
a = 1 b = -3 c = -10
Δ = (-3)² - 4.1.-10
Δ = 9 + 40
Δ = 49
x = -(-3) +- √49 / 2.1
x = +3 +- 7 / 2
x' = +3 - 7 / 2
x' = -4/2
x' = -2
x'' = +3 +7 / 2.a
x'' = +10/2.1
x'' = +10/2
x'' = +5
S = { -2, +5 }
///////////////////////////
D) x² -3x = 0
a = 1 b = -3 c = 0
Δ = (-3)² - 4.1.0
Δ = 9 - 0
Δ = 9
x = -b +- √9 / 2.1
x = -(-3) +- √9 / 2
x = +3 +- 3 / 2
x' = +3 -3 / 2
x' = 0/2
x'' = +3 +3 / 2
x'' = +6/2
x'' = +3
S = { 0, +3 }
Explicação passo a passo:
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Resposta:
A) -5x +20 = 0
a = 0 b = -5 c = 20
Δ = b² - 4.a.c
Δ = (-5)² - 4.0.20
Δ = 25 - 0
Δ = 25
x = -b +- √Δ / 2.a
x = -(-5) +- √25 / 2.0
x = +5 +- 5 / 0
x' = +5 -5 / 0
x' = 0/0
x' = 0
x'' = +5 +5 / 2.a
x'' = +10/2.0
x'' = +10/0
x'' = +10
S [ 0, +10 }
//////////////////////
B) x²-9x +20 = 0
a = 1 b = -9 c = 20
Δ = b² - 4.a.c
Δ = (-9)² -4.1.20
Δ = 81 - 80
Δ = 1
x = -b +- √Δ / 2.a
x = -(-5) +- √25 / 2.0
x = +5 +- 5 / 0
x' = +5 -5 / 0
x' = 0/0
x' = 0
x'' = +5 +5 / 2.a
x'' = +10/2.0
x'' = +10/0
x'' = +10
S = { 0, 10 }
////////////////////////
C) x² -3x -10 = 0
a = 1 b = -3 c = -10
Δ = b² - 4.a.c
Δ = (-3)² - 4.1.-10
Δ = 9 + 40
Δ = 49
x = -b +- √Δ / 2.a
x = -(-3) +- √49 / 2.1
x = +3 +- 7 / 2
x' = +3 - 7 / 2
x' = -4/2
x' = -2
x'' = +3 +7 / 2.a
x'' = +10/2.1
x'' = +10/2
x'' = +5
S = { -2, +5 }
///////////////////////////
D) x² -3x = 0
a = 1 b = -3 c = 0
Δ = b² - 4.a.c
Δ = (-3)² - 4.1.0
Δ = 9 - 0
Δ = 9
x = -b +- √9 / 2.1
x = -(-3) +- √9 / 2
x = +3 +- 3 / 2
x' = +3 -3 / 2
x' = 0/2
x' = 0
x'' = +3 +3 / 2
x'' = +6/2
x'' = +3
S = { 0, +3 }
Explicação passo a passo: