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AlgebraQuestion and Answers: Page 75

Question Number 191508 Answers: 0 Comments: 0

Question Number 191486 Answers: 1 Comments: 0

a(√a) + b(√b) = 183 and b(√a) + a(√b) = 182 What is the value of (9/5) (a + b) ?

$${a}\sqrt{{a}}\:+\:{b}\sqrt{{b}}\:=\:\mathrm{183}\:\mathrm{and}\:{b}\sqrt{{a}}\:+\:{a}\sqrt{{b}}\:=\:\mathrm{182} \\ $$$$\mathrm{What}\:\mathrm{is}\:\mathrm{the}\:\mathrm{value}\:\mathrm{of}\:\frac{\mathrm{9}}{\mathrm{5}}\:\left({a}\:+\:{b}\right)\:? \\ $$

Question Number 191473 Answers: 0 Comments: 0

Question Number 191456 Answers: 0 Comments: 0

Question Number 191454 Answers: 1 Comments: 2

Question Number 191451 Answers: 1 Comments: 0

x+(1/x)=5 and x∙y=4 find x^2 +((1/y))^2 =?

$${x}+\frac{\mathrm{1}}{{x}}=\mathrm{5}\:\:{and}\:{x}\centerdot{y}=\mathrm{4}\:{find} \\ $$$${x}^{\mathrm{2}} +\left(\frac{\mathrm{1}}{{y}}\right)^{\mathrm{2}} =? \\ $$

Question Number 191450 Answers: 0 Comments: 0

x+(1/x)=5 and x∙y=4 faind x^4 +((1/y))^3 =?

$${x}+\frac{\mathrm{1}}{{x}}=\mathrm{5}\:\:{and}\:\:{x}\centerdot{y}=\mathrm{4} \\ $$$${faind}\:\:\:\:{x}^{\mathrm{4}} +\left(\frac{\mathrm{1}}{{y}}\right)^{\mathrm{3}} =? \\ $$

Question Number 191445 Answers: 0 Comments: 0

Factorize (x − 998)(x − 999)−(((1000)/(999^2 )))

$$\mathrm{Factorize} \\ $$$$\left({x}\:−\:\mathrm{998}\right)\left({x}\:−\:\mathrm{999}\right)−\left(\frac{\mathrm{1000}}{\mathrm{999}^{\mathrm{2}} }\right) \\ $$

Question Number 191443 Answers: 2 Comments: 0

(3^(100) + 2^(100) ), 4^(100) which is greater? Give proof.

$$\left(\mathrm{3}^{\mathrm{100}} \:+\:\mathrm{2}^{\mathrm{100}} \right),\:\mathrm{4}^{\mathrm{100}} \:\mathrm{which}\:\mathrm{is}\:\mathrm{greater}? \\ $$$$\mathrm{Give}\:\mathrm{proof}. \\ $$

Question Number 191442 Answers: 0 Comments: 0

Question Number 191440 Answers: 0 Comments: 0

Question Number 191439 Answers: 0 Comments: 0

Question Number 191436 Answers: 1 Comments: 0

Factorize x^2 + (1/a) (bx + c)

$$\mathrm{Factorize} \\ $$$$\boldsymbol{{x}}^{\mathrm{2}} \:+\:\frac{\mathrm{1}}{\boldsymbol{{a}}}\:\left(\boldsymbol{{bx}}\:+\:\boldsymbol{{c}}\right) \\ $$

Question Number 191395 Answers: 1 Comments: 0

Question Number 191394 Answers: 1 Comments: 0

Question Number 191393 Answers: 0 Comments: 0

Question Number 191389 Answers: 1 Comments: 0

Factorize: x^3 +(1/x^3 )+((11)/8)

$$\mathrm{Factorize}: \\ $$$${x}^{\mathrm{3}} +\frac{\mathrm{1}}{{x}^{\mathrm{3}} }+\frac{\mathrm{11}}{\mathrm{8}} \\ $$

Question Number 191343 Answers: 1 Comments: 0

solve in R ⌊ (1/x) ⌋ + ⌊ (2/x) ⌋ + ⌊ (3/x) ⌋ = 1

$$ \\ $$$$\:\:\:\:\:\:\mathrm{solve}\:\:{in}\:\:\mathbb{R} \\ $$$$ \\ $$$$\:\:\:\:\:\:\lfloor\:\frac{\mathrm{1}}{{x}}\:\rfloor\:+\:\lfloor\:\frac{\mathrm{2}}{{x}}\:\rfloor\:+\:\lfloor\:\frac{\mathrm{3}}{{x}}\:\rfloor\:=\:\mathrm{1} \\ $$$$ \\ $$

Question Number 191301 Answers: 2 Comments: 0

Question Number 191300 Answers: 1 Comments: 0

Question Number 191304 Answers: 2 Comments: 0

Question Number 191250 Answers: 0 Comments: 4

Question Number 191283 Answers: 1 Comments: 0

Question Number 191222 Answers: 0 Comments: 0

Question Number 191221 Answers: 0 Comments: 0

Question Number 191430 Answers: 3 Comments: 0

factorise 4x^4 +81

$${factorise}\:\mathrm{4}{x}^{\mathrm{4}} +\mathrm{81} \\ $$

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