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Question Number 180713    Answers: 1   Comments: 7

Question Number 180746    Answers: 2   Comments: 0

Question Number 180744    Answers: 2   Comments: 2

Question Number 180698    Answers: 1   Comments: 0

2+(x/(2+(x/(2+(x/:)))))=3 x=?

$$\mathrm{2}+\frac{{x}}{\mathrm{2}+\frac{{x}}{\mathrm{2}+\frac{{x}}{:}}}=\mathrm{3}\:\:\:\:\:\:\:\:\:\:\:{x}=? \\ $$

Question Number 180689    Answers: 1   Comments: 0

value of ∫_o ^(+oo) e^(E(x)) dx

$${value}\:{of}\: \\ $$$$\int_{{o}} ^{+{oo}} {e}^{{E}\left({x}\right)} {dx} \\ $$

Question Number 180695    Answers: 1   Comments: 0

Find all k, m, n ∈ N such that k!+3^m =3^n

$${Find}\:{all}\:{k},\:{m},\:{n}\:\in\:\mathbb{N}\:{such}\:{that} \\ $$$${k}!+\mathrm{3}^{{m}} =\mathrm{3}^{{n}} \\ $$

Question Number 180684    Answers: 1   Comments: 0

Question Number 180683    Answers: 1   Comments: 0

(b) x + y + Kz = 2 3x + 4y + 2z = K 2x + 3y − z = 1

$$\left(\mathrm{b}\right)\:\mathrm{x}\:+\:\mathrm{y}\:+\:\mathrm{Kz}\:=\:\mathrm{2} \\ $$$$\:\:\:\:\mathrm{3x}\:+\:\mathrm{4y}\:+\:\mathrm{2z}\:=\:\mathrm{K} \\ $$$$\:\:\:\:\mathrm{2x}\:+\:\mathrm{3y}\:−\:\mathrm{z}\:=\:\mathrm{1} \\ $$

Question Number 180667    Answers: 3   Comments: 1

Question Number 180680    Answers: 4   Comments: 0

Question Number 180682    Answers: 1   Comments: 0

Determine the value of k such that the following system has (i) a Unique solution (ii) No solution (iii) More than one solution (a) Kx + y + z = 1 x +Ky + z = 1 x + y + Kz = 1

$$\mathrm{Determine}\:\mathrm{the}\:\mathrm{value}\:\mathrm{of}\:\mathrm{k}\:\mathrm{such}\:\mathrm{that}\:\mathrm{the} \\ $$$$\mathrm{following}\:\mathrm{system}\:\mathrm{has}\:\left(\mathrm{i}\right)\:\mathrm{a}\:\mathrm{Unique}\: \\ $$$$\mathrm{solution}\:\left(\mathrm{ii}\right)\:\mathrm{No}\:\mathrm{solution}\:\left(\mathrm{iii}\right)\:\mathrm{More}\:\mathrm{than} \\ $$$$\mathrm{one}\:\mathrm{solution} \\ $$$$ \\ $$$$\left(\mathrm{a}\right)\:\mathrm{Kx}\:+\:\mathrm{y}\:+\:\mathrm{z}\:=\:\mathrm{1} \\ $$$$\:\:\:\:\mathrm{x}\:+\mathrm{Ky}\:+\:\mathrm{z}\:=\:\mathrm{1} \\ $$$$\:\:\:\:\mathrm{x}\:+\:\mathrm{y}\:+\:\mathrm{Kz}\:=\:\mathrm{1} \\ $$

Question Number 180625    Answers: 1   Comments: 0

During the challenge Cup season. Team A scored 15 goals more than Team B. They have 121 goals between them. how many goals did each team score?

$$\mathrm{During}\:\mathrm{the}\:\mathrm{challenge}\:\mathrm{Cup}\:\mathrm{season}.\:\mathrm{Team} \\ $$$$\mathrm{A}\:\mathrm{scored}\:\mathrm{15}\:\mathrm{goals}\:\mathrm{more}\:\mathrm{than}\:\mathrm{Team}\:\mathrm{B}. \\ $$$$\mathrm{They}\:\mathrm{have}\:\mathrm{121}\:\mathrm{goals}\:\mathrm{between}\:\mathrm{them}. \\ $$$$\mathrm{how}\:\mathrm{many}\:\mathrm{goals}\:\mathrm{did}\:\mathrm{each}\:\mathrm{team}\:\mathrm{score}? \\ $$$$ \\ $$

Question Number 180623    Answers: 1   Comments: 0

Question Number 180621    Answers: 1   Comments: 0

Question Number 180615    Answers: 3   Comments: 0

Question Number 180614    Answers: 0   Comments: 0

Question Number 180604    Answers: 1   Comments: 0

Question Number 180603    Answers: 0   Comments: 1

find the real solution of following equation system: x^2 +xy+y^2 =p y^2 +yz+z^2 =q z^2 +zx+x^2 =r with p,q,r>0

$${find}\:{the}\:{real}\:{solution}\:{of}\:{following} \\ $$$${equation}\:{system}: \\ $$$$\boldsymbol{{x}}^{\mathrm{2}} +\boldsymbol{{xy}}+\boldsymbol{{y}}^{\mathrm{2}} =\boldsymbol{{p}} \\ $$$$\boldsymbol{{y}}^{\mathrm{2}} +\boldsymbol{{yz}}+\boldsymbol{{z}}^{\mathrm{2}} =\boldsymbol{{q}} \\ $$$$\boldsymbol{{z}}^{\mathrm{2}} +\boldsymbol{{zx}}+\boldsymbol{{x}}^{\mathrm{2}} =\boldsymbol{{r}} \\ $$$${with}\:{p},{q},{r}>\mathrm{0} \\ $$

Question Number 180599    Answers: 1   Comments: 0

Find the length PQ.

$${Find}\:{the}\:{length}\:{PQ}. \\ $$

Question Number 180585    Answers: 2   Comments: 0

there are 5 points on a line and 4 points on a parallel line. how many quadrilaterals can be formed with these points as vertrices?

$${there}\:{are}\:\mathrm{5}\:{points}\:{on}\:{a}\:{line}\:{and}\:\mathrm{4}\: \\ $$$${points}\:{on}\:{a}\:{parallel}\:{line}. \\ $$$${how}\:{many}\:{quadrilaterals}\:{can}\:{be}\: \\ $$$${formed}\:{with}\:{these}\:{points}\:{as}\: \\ $$$${vertrices}? \\ $$

Question Number 180582    Answers: 1   Comments: 0

Question Number 180576    Answers: 4   Comments: 1

Question Number 180569    Answers: 1   Comments: 1

(√(x+4)) − (√(x−1)) > (√(4x+5))

$$\sqrt{\boldsymbol{{x}}+\mathrm{4}}\:−\:\sqrt{\boldsymbol{{x}}−\mathrm{1}}\:>\:\sqrt{\mathrm{4}\boldsymbol{{x}}+\mathrm{5}} \\ $$

Question Number 180565    Answers: 2   Comments: 1

(2x+(√(4x^2 +1)))(3y+(√(9y^2 +1)))=1 (4x+6y)^3 =? Show full solution

$$\left(\mathrm{2}{x}+\sqrt{\mathrm{4}{x}^{\mathrm{2}} +\mathrm{1}}\right)\left(\mathrm{3}{y}+\sqrt{\mathrm{9}{y}^{\mathrm{2}} +\mathrm{1}}\right)=\mathrm{1} \\ $$$$\left(\mathrm{4}{x}+\mathrm{6}{y}\right)^{\mathrm{3}} =? \\ $$$${Show}\:{full}\:{solution} \\ $$

Question Number 180558    Answers: 1   Comments: 0

The football team meets in a circle to consult about some plan to play, what′s the probability that the one player of the opponent team who′s trying to eavesdrops is standing behind the goalkeeper?

$${The}\:{football}\:{team}\:{meets}\:{in}\:{a}\:{circle}\:{to}\:{consult} \\ $$$$\:{about}\:{some}\:{plan}\:{to}\:{play},\:{what}'{s}\:{the}\:{probability} \\ $$$$\:{that}\:{the}\:{one}\:{player}\:{of}\:{the}\:{opponent}\:{team}\:{who}'{s} \\ $$$$\:{trying}\:{to}\:{eavesdrops}\:{is}\:{standing}\:{behind}\:{the} \\ $$$$\:{goalkeeper}? \\ $$

Question Number 180554    Answers: 2   Comments: 0

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