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lsoares1577
@lsoares1577
October 2020
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Resolva em Z a inequação -x²+12x+20<0
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3478elc
Verified answer
- x²+12x+20<0
Δ= 12² -4.(-1).20 = 144+80=224
x =
- 12 +/- V224
==> x =
- 12 +/-
V224
2.(-1) - 2
x1 =
- 12 +
V224
==>
12 - V224
≈ - 1
- 2 2
x1 =
- 12 -
V224
==>
12 + V224
≈ + 13
- 2 2
1 13
+ | - | -
+ | + | -
+ | _ | +
x ∈ R / 1 < x < 13
2 votes
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Verified answer
- x²+12x+20<0
Δ= 12² -4.(-1).20 = 144+80=224
x = - 12 +/- V224 ==> x = - 12 +/- V224
2.(-1) - 2
x1 = - 12 + V224 ==> 12 - V224 ≈ - 1
- 2 2
x1 = - 12 - V224 ==> 12 + V224 ≈ + 13
- 2 2
1 13
+ | - | -
+ | + | -
+ | _ | +
x ∈ R / 1 < x < 13