algebre de base 4

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rep

5/3x

5

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\text{Le signe du coefficient de } x \text{ est faux.}

\text{Vous devez simplifier le coefficient de }x.

\text{Le signe de la constante est faux.}

\text{Le coefficient de }x\text{ n'est pas valable.}

\text{La constante n'est pas valable.}

\text{Vous devez simplifier la constante.}

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non valable

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Mathématiques à Valin

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Voici la solution et les calculs détaillés :

Votre réponse :

\text{Dernier exercice}

ne = 2
de = 3
se = 1
nb = 5
db = 2
nd = 2
fnd: (ne * nd)
dd = 3
fdd: (de * dd)
kkd = GCD(fdd, fnd)
ffnd: fnd / kkd
ffdd: fdd / kkd
bd2 = LCM(db, ffdd)
nd2: (ffnd * bd2 / ffdd)
nb2: (nb * bd2 / db)
sb = 1
sd = 1
pbd = LCM(db, dd)
nd': (nd * pbd / dd)
na = 5
da = 2
nc = 1
dc = 3
sa = -1
sc = 1
nnc: (ne * nc)
ddc: (de * dc)
kkc = GCD(nnc, ddc)
dddc: ddc / kkc
ca2 = LCM(da, dddc)
na2: (na * ca2 / da)
nnnc: nnc / kkc
nc2: (nnnc * ca2 / dddc)
e: (se * ne / de)
c: (sc * nc / dc)
a: (sa * na / da)
αreponse = 0.6666666666666666
posx = IndexOf("x", reponse)
m1 = Take(reponse, 1, posx - 1)
possm1 = IndexOf("-", m1)
signm1 = If(possm1 ≟ 1, Take[m1, 1, 1], "")
mm1 = If(possm1 ≟ 1, Take[m1, 2], m1)
pac = LCM(da, dc)
na': (na * pac / da)
nc': (nc * pac / dc)
αn: (sa * na2) + ((sc * se) * nc2)
tsα = If(αn  <  0, "-", "")
kα = GCD(αn, ca2)
ddα: ca2 / kα
α: a + (e * c)
nnα: abs(αn / kα)
absα: abs(α)
texteα = If(IsInteger[α], If[absα ≟ 1, "", "" + absα], "\frac{" + nnα + "}{" + ddα + "}")
posα1 = IndexOf("}{", texteα)
new1α = If(Defined[posα1], Take[texteα, 1, posα1 - 1] + "/" + (Take[texteα, posα1 + 2]), texteα)
posfracα = IndexOf("\frac{", new1α)
new2α = If(Defined[posfracα], Take[new1α, 7], new1α)
posα3 = IndexOf("}", new2α)
new3α = If(Defined[posα3], Take[new2α, 1, posα3 - 1], new2α)
αjuste: tsα + new3α ≟ signm1 + mm1
b: (sb * nb / db)
d: (sd * nd / dd)
ka = GCD(na, da)
kb = GCD(nb, db)
kc = GCD(nc, dc)
kd = GCD(nd, dd)
ta = If(da ≟ 1, "" + na, "\frac{" + na + "}{" + da + "}")
tb = If(db ≟ 1, "" + nb, "\frac{" + nb + "}{" + db + "}")
tc = If(dc ≟ 1, "" + nc, "\frac{" + nc + "}{" + dc + "}")
td = If(dd ≟ 1, "" + nd, "\frac{" + nd + "}{" + dd + "}")
tsa = If(sa ≟ -1, "-", "")
tsb = If(sb ≟ -1, "-", "+")
tsc = If(sc ≟ -1, "-", "+")
tsd = If(sd ≟ -1, "-", "+")
βn: (sb * nb2) + ((sd * se) * nd2)
nb': (nb * pbd / db)
β: b + (e * d)
sα = If(α  <  0, -1, 1)
sβ = If(β  <  0, -1, 1)
kβ = GCD(βn, bd2)
αd: (α * d)
ddβ: bd2 / kβ
nnβ: abs(βn / kβ)
texte4 = If(βn  <  0, "-", "+")
tsβ = If(βn  <  0, "-", "+")
absβ: abs(β)
texteβ = If(IsInteger[β], "" + absβ, "\frac{" + nnβ + "}{" + ddβ + "}")
texte5: "A=" + (LaTeX[tsα]) + "" + (LaTeX[texteα]) + "x" + (LaTeX[tsβ]) + "" + (LaTeX[texteβ]) + ""
α1 = -2.2777777777777777
β1 = 3.1666666666666665
pos1β = IndexOf("}{", texteβ)
new1β = If(Defined[pos1β], Take[texteβ, 1, pos1β - 1] + "/" + (Take[texteβ, pos1β + 2]), texteβ)
posfracβ = IndexOf("\frac{", new1β)
new2β = If(Defined[posfracβ], Take[new1β, 7], new1β)
posβ3 = IndexOf("}", new2β)
new3β = If(Defined[posβ3], Take[new2β, 1, posβ3 - 1], new2β)
solutionattendue: tsα + new3α + "x" + tsβ + new3β
ChampTexte1 = Textfield(reponse)
pospar1 = NaN
pospar2 = NaN
posetoile = NaN
m2 = Take(reponse, posx + 1)
possm2 = IndexOf("-", m2)
possm3 = IndexOf("+", m2)
mm2 = If(possm2 ≟ 1 ∨ possm3 ≟ 1, Take[m2, 2], m2)
signm2 = If(possm2 ≟ 1 ∨ possm3 ≟ 1, Take[m2, 1, 1], "")
posbarrem1 = IndexOf("/", mm1)
coef1: "" + signm1 + "\dfrac{" + (Take[mm1, 1, posbarrem1 - 1]) + "}{" + (Take[mm1, posbarrem1 + 1]) + "}"
coeff1 = If(Defined[posbarrem1], coef1, m1)
posbarrem2 = IndexOf("/", mm2)
coef2: "" + signm2 + "\dfrac{" + (Take[mm2, 1, posbarrem2 - 1]) + "}{" + (Take[mm2, posbarrem2 + 1]) + "}"
coeff2 = If(Defined[posbarrem2], coef2, m2)
reponsetex: "A=" + (LaTeX[coeff1]) + "x" + (LaTeX[coeff2]) + ""
posvide = NaN
juste: solutionattendue ≟ reponse
αasimplifier: α ≟ αreponse ∧ (¬αjuste)
βreponse = 0.5
βjuste: tsβ + new3β ≟ signm2 + mm2
βasimplifier: β ≟ βreponse ∧ (¬βjuste)
signαfaux: (¬αjuste) ∧ α ≟ (-αreponse)
test = false
signβfaux: (¬βjuste) ∧ β ≟ (-βreponse)
voirreponse = false
unefaute = false
gain = 0
score = 0
numexo = 1
debut = false
texte14: "Score : " + score + " / " + numexo + ""
ke = 1
ee: (se * ne / de)
textee = If(abs(ee) ≠ 1, SurdText[abs(ee)], "")
signee = If(se ≟ 1, "+", "-")
tsc2 = If(sc ≟ -1, "-", "")
texte1: "A=" + (LaTeX[tsa]) + "" + (LaTeX[ta]) + "x" + (LaTeX[tsb]) + "" + (LaTeX[tb]) + "" + (LaTeX[signee]) + "" + (LaTeX[textee]) + "\left(" + (LaTeX[tsc2]) + "" + (LaTeX[tc]) + "x" + (LaTeX[tsd]) + "" + (LaTeX[td]) + "\right)"
ssc: (se * sc)
textssc = If(ssc ≟ 1, "+", "-")
textecc = If(nnnc / dddc ≟ 1, "", If[dddc ≟ 1, "" + nnnc, "\frac{" + nnc + "}{" + dddc + "}"])
nnd: (ne * nd)
textssd = If((se * sd) ≟ 1, "+", "-")
textdd = If(ffdd ≟ 1, "" + ffnd, "\frac{" + ffnd + "}{" + ffdd + "}")
texte17: "A=" + (LaTeX[tsa]) + "" + (LaTeX[ta]) + "x" + (LaTeX[tsb]) + "" + (LaTeX[tb]) + "" + (LaTeX[textssc]) + "" + (LaTeX[textecc]) + "x" + (LaTeX[textssd]) + "" + (LaTeX[textdd]) + ""
texte2: "A=\left(" + (LaTeX[tsa]) + "" + (LaTeX[ta]) + "" + (LaTeX[textssc]) + "" + (LaTeX[textecc]) + "\right)x" + (LaTeX[tsb]) + "" + (LaTeX[tb]) + "" + (LaTeX[textssd]) + "" + (LaTeX[textdd]) + ""
texte18: "A=\left(" + (LaTeX[tsa]) + "\dfrac{" + (LaTeX[na2]) + "}{" + (LaTeX[ca2]) + "}" + (LaTeX[textssc]) + "\frac{" + (LaTeX[nc2]) + "}{" + (LaTeX[ca2]) + "}\right)x" + (LaTeX[tsb]) + "\frac{" + (LaTeX[nb2]) + "}{" + (LaTeX[bd2]) + "}" + (LaTeX[textssd]) + "\frac{" + (LaTeX[nd2]) + "}{" + (LaTeX[bd2]) + "}"
grade: score
notemax: 5