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AlgebraQuestion and Answers: Page 222

Question Number 135090 Answers: 0 Comments: 0

Question Number 135060 Answers: 1 Comments: 0

Given that a > 3 and ax^2 + 7x - C=0 has real roots. What is the minimum value of Integer C?

$$ \\ $$Given that a > 3 and ax^2 + 7x - C=0 has real roots. What is the minimum value of Integer C?

Question Number 134981 Answers: 1 Comments: 0

(a+1)(b+1)(c+1)=2abc a,b,c ε N

$$\left(\mathrm{a}+\mathrm{1}\right)\left(\boldsymbol{\mathrm{b}}+\mathrm{1}\right)\left(\boldsymbol{\mathrm{c}}+\mathrm{1}\right)=\mathrm{2}\boldsymbol{\mathrm{abc}}\: \\ $$$$\boldsymbol{\mathrm{a}},\boldsymbol{\mathrm{b}},\boldsymbol{\mathrm{c}}\:\varepsilon\:\mathrm{N} \\ $$

Question Number 134912 Answers: 1 Comments: 0

Given { ((a+b=5ab)),((b+c=7bc)),((c+a=6ac)) :} where a,b,c ≠ 0. Find abc

$$\mathrm{Given}\:\begin{cases}{\mathrm{a}+\mathrm{b}=\mathrm{5ab}}\\{\mathrm{b}+\mathrm{c}=\mathrm{7bc}}\\{\mathrm{c}+\mathrm{a}=\mathrm{6ac}}\end{cases} \\ $$$$\mathrm{where}\:\mathrm{a},\mathrm{b},\mathrm{c}\:\neq\:\mathrm{0}. \\ $$$$\mathrm{Find}\:\mathrm{abc} \\ $$

Question Number 134848 Answers: 3 Comments: 2

Question Number 134817 Answers: 3 Comments: 3

What is the maximum value of abc if a+b+c = 5 and ab+bc+ca = 7?

$$ \\ $$What is the maximum value of abc if a+b+c = 5 and ab+bc+ca = 7?

Question Number 134782 Answers: 0 Comments: 0

1,4,16,52,196,... X_n = ???

$$\mathrm{1},\mathrm{4},\mathrm{16},\mathrm{52},\mathrm{196},... \\ $$$$\mathrm{X}_{\mathrm{n}} =\:??? \\ $$

Question Number 134763 Answers: 1 Comments: 0

Given a= (3)^(1/3) + (1/( (√3))) Find the value of 3a^3 −9a+1.

$$\mathrm{Given}\:{a}=\:\sqrt[{\mathrm{3}}]{\mathrm{3}}\:+\:\frac{\mathrm{1}}{\:\sqrt{\mathrm{3}}} \\ $$$$\mathrm{Find}\:\mathrm{the}\:\mathrm{value}\:\mathrm{of}\:\mathrm{3}{a}^{\mathrm{3}} −\mathrm{9}{a}+\mathrm{1}. \\ $$

Question Number 134733 Answers: 0 Comments: 0

Question Number 134854 Answers: 0 Comments: 0

(√x) why the root is so thing? How can i make it bold?

$$ \\ $$$$\sqrt{\boldsymbol{{x}}}\:\:\mathrm{why}\:\mathrm{the}\:\mathrm{root}\:\mathrm{is}\:\mathrm{so}\:\mathrm{thing}?\:\mathrm{How}\:\mathrm{can}\:\mathrm{i}\:\mathrm{make}\:\mathrm{it}\:\mathrm{bold}? \\ $$

Question Number 134668 Answers: 1 Comments: 0

1+1+4−6−8−10+12+14+16−18−20−22+... S_(900) = ?

$$\mathrm{1}+\mathrm{1}+\mathrm{4}−\mathrm{6}−\mathrm{8}−\mathrm{10}+\mathrm{12}+\mathrm{14}+\mathrm{16}−\mathrm{18}−\mathrm{20}−\mathrm{22}+... \\ $$$$\mathrm{S}_{\mathrm{900}} \:=\:? \\ $$

Question Number 134627 Answers: 1 Comments: 0

ALGEBRA If Bobby walks to school at 50m/min. He will be late for 3 minutes. If he walks 60 m/min, he arrives at school early by 2 mins. What is the distance between Bobby's home and school?

$$\mathcal{ALGEBRA} \\ $$If Bobby walks to school at 50m/min. He will be late for 3 minutes. If he walks 60 m/min, he arrives at school early by 2 mins. What is the distance between Bobby's home and school?

Question Number 134571 Answers: 1 Comments: 0

Prove the sequence Σ_(n=2) ^∞ (1/((ln n)^(100) )) divergent or convergent

$$\mathrm{Prove}\:\mathrm{the}\:\mathrm{sequence}\:\underset{\mathrm{n}=\mathrm{2}} {\overset{\infty} {\sum}}\:\frac{\mathrm{1}}{\left(\mathrm{ln}\:\mathrm{n}\right)^{\mathrm{100}} } \\ $$$$\mathrm{divergent}\:\mathrm{or}\:\mathrm{convergent}\: \\ $$

Question Number 135771 Answers: 0 Comments: 1

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Question Number 134467 Answers: 1 Comments: 0

determinant (((If x^2 =2y+5 and y^2 =2x+5 )),((what the value of x^3 −2x^2 y^2 +y^2 .)))

$$\begin{array}{|c|c|}{\mathrm{If}\:\mathrm{x}^{\mathrm{2}} =\mathrm{2y}+\mathrm{5}\:\mathrm{and}\:\mathrm{y}^{\mathrm{2}} =\mathrm{2x}+\mathrm{5}\:}\\{\mathrm{what}\:\mathrm{the}\:\mathrm{value}\:\mathrm{of}\:\mathrm{x}^{\mathrm{3}} −\mathrm{2x}^{\mathrm{2}} \mathrm{y}^{\mathrm{2}} +\mathrm{y}^{\mathrm{2}} .}\\\hline\end{array} \\ $$

Question Number 134410 Answers: 1 Comments: 2

{ ((x^2 +y^2 +xy=2)),((x^2 +z^2 +zx=1)),((y^2 +z^2 +yz=1)) :} ⇒ (x+y+z)^2 =?

$$\:\begin{cases}{{x}^{\mathrm{2}} +{y}^{\mathrm{2}} +{xy}=\mathrm{2}}\\{{x}^{\mathrm{2}} +{z}^{\mathrm{2}} +{zx}=\mathrm{1}}\\{{y}^{\mathrm{2}} +{z}^{\mathrm{2}} +{yz}=\mathrm{1}}\end{cases}\:\Rightarrow\:\left({x}+{y}+{z}\right)^{\mathrm{2}} \:=? \\ $$

Question Number 134335 Answers: 1 Comments: 0

Two Team A&B of workers at a bridge site. Each team consist of W workers. On a particular day, a worker was shifted from team A to team B . Now if the ratio of the amount of workdone by teamA in (W+1) he & by teamB in (W+2) hr is 10:12 rsp. Find W?

$$ \\ $$Two Team A&B of workers at a bridge site. Each team consist of W workers. On a particular day, a worker was shifted from team A to team B . Now if the ratio of the amount of workdone by teamA in (W+1) he & by teamB in (W+2) hr is 10:12 rsp. Find W?

Question Number 134331 Answers: 1 Comments: 0

cos^2 (((3π)/2)−x)=cos^2 (x+π) 0≤x≤π x=?

$$\mathrm{cos}^{\mathrm{2}} \left(\frac{\mathrm{3}\pi}{\mathrm{2}}−\mathrm{x}\right)=\mathrm{cos}^{\mathrm{2}} \left(\mathrm{x}+\pi\right) \\ $$$$\mathrm{0}\leqslant\mathrm{x}\leqslant\pi \\ $$$$\mathrm{x}=? \\ $$

Question Number 134297 Answers: 1 Comments: 0