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AlgebraQuestion and Answers: Page 29

Question Number 211255    Answers: 1   Comments: 3

(√(a+(√(b−x))+(√(b−(√(a+x))))))=2x solve for x.

$$\sqrt{{a}+\sqrt{{b}−{x}}+\sqrt{{b}−\sqrt{{a}+{x}}}}=\mathrm{2}{x} \\ $$$${solve}\:{for}\:{x}.\:\:\:\: \\ $$

Question Number 211252    Answers: 1   Comments: 0

Question Number 211251    Answers: 0   Comments: 2

Question Number 211250    Answers: 1   Comments: 0

Find the number of 4 digit numbers so that when decomposed into prime factors, have the sum of prime factors equal to the sum of the exponents?

$${Find}\:{the}\:{number}\:{of}\:\mathrm{4}\:{digit}\:{numbers} \\ $$$$\:{so}\:{that}\:{when}\:{decomposed}\:{into}\:{prime} \\ $$$$\:{factors},\:{have}\:{the}\:{sum}\:{of}\:{prime}\:{factors} \\ $$$$\:{equal}\:{to}\:{the}\:{sum}\:{of}\:{the}\:{exponents}? \\ $$

Question Number 211230    Answers: 0   Comments: 0

Question Number 211222    Answers: 1   Comments: 0

How many integers are there such that, 0≤n≤720 and n^2 ≡1(mod)720?

$${How}\:{many}\:{integers}\:{are}\:{there} \\ $$$$\:\:\:{such}\:{that},\:\:\mathrm{0}\leqslant{n}\leqslant\mathrm{720}\:{and}\: \\ $$$$\:\:\:{n}^{\mathrm{2}} \equiv\mathrm{1}\left({mod}\right)\mathrm{720}? \\ $$

Question Number 211207    Answers: 2   Comments: 0

Question Number 211201    Answers: 5   Comments: 0

((x−1))^(1/3) + ((x−2))^(1/3) −((2x−3))^(1/3) = 0 x=?

$$\:\:\:\sqrt[{\mathrm{3}}]{\mathrm{x}−\mathrm{1}}\:+\:\sqrt[{\mathrm{3}}]{\mathrm{x}−\mathrm{2}}\:−\sqrt[{\mathrm{3}}]{\mathrm{2x}−\mathrm{3}}\:=\:\mathrm{0} \\ $$$$\:\:\:\mathrm{x}=? \\ $$

Question Number 211191    Answers: 2   Comments: 0

Question Number 211157    Answers: 1   Comments: 1

Question Number 211147    Answers: 1   Comments: 0

1414; 1515; 1616;...; From 5757 units How many of them are divided by 13 and the remainder is 10?

$$ \\ $$1414; 1515; 1616;...; From 5757 units How many of them are divided by 13 and the remainder is 10?

Question Number 211143    Answers: 1   Comments: 0

Question Number 211140    Answers: 0   Comments: 0

Question Number 211122    Answers: 1   Comments: 0

Is there a special rule for divisibility of four-digit numbers by 13?

$$ \\ $$Is there a special rule for divisibility of four-digit numbers by 13?

Question Number 211099    Answers: 3   Comments: 0

Question Number 211103    Answers: 0   Comments: 0

Question Number 211043    Answers: 2   Comments: 0

Question Number 211029    Answers: 2   Comments: 0

Question Number 210996    Answers: 2   Comments: 0

Question Number 211004    Answers: 0   Comments: 0

Question Number 210987    Answers: 1   Comments: 0

Question Number 210971    Answers: 1   Comments: 0

Question Number 210961    Answers: 3   Comments: 0

Question Number 210958    Answers: 1   Comments: 2

Question Number 210934    Answers: 2   Comments: 0

If ((x^2 + ax − 18)/(x^2 + 7x + 2b)) = ((x − c)/(x + 5)) Find a + b + c = ?

$$\mathrm{If}\:\:\:\frac{\mathrm{x}^{\mathrm{2}} \:+\:\mathrm{ax}\:−\:\mathrm{18}}{\mathrm{x}^{\mathrm{2}} \:+\:\mathrm{7x}\:+\:\mathrm{2b}}\:\:=\:\:\frac{\mathrm{x}\:−\:\mathrm{c}}{\mathrm{x}\:+\:\mathrm{5}} \\ $$$$\mathrm{Find}\:\:\:\boldsymbol{\mathrm{a}}\:+\:\boldsymbol{\mathrm{b}}\:+\:\boldsymbol{\mathrm{c}}\:=\:? \\ $$

Question Number 210922    Answers: 0   Comments: 0

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