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AlgebraQuestion and Answers: Page 71

Question Number 189748 Answers: 2 Comments: 2

x−(√x)+1=0 x=??

$$ \\ $$$$\:\:\:\:\:\boldsymbol{{x}}−\sqrt{\boldsymbol{{x}}}+\mathrm{1}=\mathrm{0} \\ $$$$\:\:\:\:\:\:\boldsymbol{{x}}=?? \\ $$

Question Number 189610 Answers: 1 Comments: 0

solve for x if log x=(x^2 /(25))

$${solve}\:{for}\:{x}\:{if}\:\:\: \\ $$$$\mathrm{log}\:{x}=\frac{{x}^{\mathrm{2}} }{\mathrm{25}} \\ $$

Question Number 189593 Answers: 0 Comments: 0

Question Number 189592 Answers: 0 Comments: 0

Question Number 189598 Answers: 0 Comments: 0

Question Number 189576 Answers: 1 Comments: 0

2^x + 2^x −4 + x = −(1/2) x = ???

$$ \\ $$$$\:\:\:\:\:\mathrm{2}^{\boldsymbol{{x}}} \:+\:\mathrm{2}^{\boldsymbol{{x}}} −\mathrm{4}\:+\:\boldsymbol{{x}}\:=\:−\frac{\mathrm{1}}{\mathrm{2}}\:\:\:\:\:\:\: \\ $$$$\:\:\:\:\:\:\boldsymbol{{x}}\:=\:??? \\ $$$$ \\ $$

Question Number 189564 Answers: 1 Comments: 0

Question Number 189555 Answers: 0 Comments: 0

Question Number 189554 Answers: 0 Comments: 0

Question Number 189533 Answers: 1 Comments: 0

when a+b=60^° find ((cos^2 a−sin^2 b)/(cos(a−b)))=?

$${when}\:\:{a}+{b}=\mathrm{60}^{°} \:\:\:\:\:{find}\:\:\frac{{cos}^{\mathrm{2}} {a}−{sin}^{\mathrm{2}} {b}}{{cos}\left({a}−{b}\right)}=? \\ $$

Question Number 189531 Answers: 1 Comments: 0

The number of pairs of natural numbers (x,y) satisfy x^2 y+gcd(x,y^2 )=2023

$$\mathrm{The}\:\mathrm{number}\:\mathrm{of}\:\mathrm{pairs}\:\mathrm{of}\:\mathrm{natural} \\ $$$$\mathrm{numbers}\:\left(\mathrm{x},\mathrm{y}\right)\:\mathrm{satisfy} \\ $$$$\:\:\:\:\:\:\mathrm{x}^{\mathrm{2}} \mathrm{y}+\mathrm{gcd}\left(\mathrm{x},\mathrm{y}^{\mathrm{2}} \right)=\mathrm{2023} \\ $$

Question Number 189514 Answers: 0 Comments: 0

Question Number 189507 Answers: 0 Comments: 0

Question Number 189473 Answers: 1 Comments: 0

Question Number 189461 Answers: 0 Comments: 0

Question Number 189446 Answers: 1 Comments: 0

x^2 =(2)^(1/5) +y y^2 =(2)^(1/5) +x x∙y=? x≠y

$${x}^{\mathrm{2}} =\sqrt[{\mathrm{5}}]{\mathrm{2}}+{y} \\ $$$${y}^{\mathrm{2}} =\sqrt[{\mathrm{5}}]{\mathrm{2}}+{x} \\ $$$${x}\centerdot{y}=?\:\:\:\:\:\:\:\:\:\:\:{x}\neq{y} \\ $$

Question Number 189417 Answers: 1 Comments: 0

Question Number 189407 Answers: 0 Comments: 1

determiner l heure de depart par un auto qui part pour rejiindre la gare B juste a l′ arrivee du train partant a 7h,de la ville A vers la ville B a vitesse de 180km/h.?

$${determiner}\:{l}\:{heure}\:{de}\: \\ $$$${depart}\:{par}\:\:{un}\:{auto}\:{qui}\: \\ $$$${part}\:{pour}\:{rejiindre}\:{la} \\ $$$${gare}\:\:{B}\:{juste}\:{a}\:{l}'\:{arrivee} \\ $$$${du}\:{train}\:\:{partant}\:{a}\:\mathrm{7}{h},{de}\:{la}\:{ville}\:{A} \\ $$$${vers}\:{la}\:{ville}\:{B}\:{a}\:{vitesse}\:{de}\: \\ $$$$\mathrm{180}{km}/{h}.? \\ $$$$ \\ $$

Question Number 189302 Answers: 1 Comments: 2

Q: find the number of the solutions for : ( x_( 1) + x_( 2) )^( 3) + x_( 3) + x_( 4) + x_( 5) =11 Hint: ( x_( i) ∈ Z^( +) ∪ { 0 } )

$$ \\ $$$$\:\:\:\:{Q}:\:\:\:\:\mathrm{find}\:\mathrm{the}\:\mathrm{number}\:\mathrm{of}\: \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\:\:\mathrm{the}\:\:\mathrm{solutions}\:\:\mathrm{for}\:: \\ $$$$ \\ $$$$\:\:\left(\:{x}_{\:\mathrm{1}} \:+\:{x}_{\:\mathrm{2}} \:\right)^{\:\mathrm{3}} \:+\:{x}_{\:\mathrm{3}} \:+\:{x}_{\:\mathrm{4}} \:+\:{x}_{\:\mathrm{5}} \:=\mathrm{11} \\ $$$$\:\:\: \\ $$$$\:\:\:\:{Hint}:\:\:\:\left(\:{x}_{\:{i}} \:\:\in\:\:\mathbb{Z}^{\:\:+} \:\:\cup\:\left\{\:\mathrm{0}\:\right\}\:\:\right) \\ $$$$\: \\ $$

Question Number 189269 Answers: 1 Comments: 0

Question Number 189242 Answers: 0 Comments: 0

Question Number 189212 Answers: 0 Comments: 0

Question Number 189208 Answers: 2 Comments: 0

Question Number 189201 Answers: 1 Comments: 0

In △ABC holds: (√2) a cos (B/2) cos (C/2) = s ⇒ sec (2B) + tan (2B) = ((c + b)/(c − b))

$$\mathrm{In}\:\:\:\bigtriangleup\mathrm{ABC}\:\:\:\mathrm{holds}: \\ $$$$\sqrt{\mathrm{2}}\:\mathrm{a}\:\mathrm{cos}\:\frac{\mathrm{B}}{\mathrm{2}}\:\mathrm{cos}\:\frac{\mathrm{C}}{\mathrm{2}}\:=\:\mathrm{s} \\ $$$$\Rightarrow\:\mathrm{sec}\:\left(\mathrm{2B}\right)\:+\:\mathrm{tan}\:\left(\mathrm{2B}\right)\:=\:\frac{\mathrm{c}\:+\:\mathrm{b}}{\mathrm{c}\:−\:\mathrm{b}} \\ $$

Question Number 189135 Answers: 2 Comments: 0

Question Number 189137 Answers: 0 Comments: 2

It is known that x is rational x (√(28 + 3(√(28 + 3(√(28 + 3(√?))))))) Find the dufference of possible vaules of x

$$\mathrm{It}\:\mathrm{is}\:\mathrm{known}\:\mathrm{that}\:\:\mathrm{x}\:\:\mathrm{is}\:\mathrm{rational} \\ $$$$\mathrm{x}\:\sqrt{\mathrm{28}\:+\:\mathrm{3}\sqrt{\mathrm{28}\:+\:\mathrm{3}\sqrt{\mathrm{28}\:+\:\mathrm{3}\sqrt{?}}}} \\ $$$$\mathrm{Find}\:\mathrm{the}\:\mathrm{dufference}\:\mathrm{of}\:\mathrm{possible}\:\mathrm{vaules} \\ $$$$\mathrm{of}\:\:\boldsymbol{\mathrm{x}} \\ $$

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