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AlgebraQuestion and Answers: Page 268

Question Number 84871 Answers: 1 Comments: 1

If you know (((b^2 +c^2 −a^2 )/(2bc)))^2 +(((c^2 +a^2 −b^2 )/(2ca)))^2 +(((a^2 +b^2 −c^2 )/(2ab)))^2 =3, then what′s the value of ((b^2 +c^2 −a^2 )/(2bc))+((c^2 +a^2 −b^2 )/(2ac))+((a^2 +b^2 −c^2 )/(2ab))?

$If you know$ ${(\frac{b^{2} + c^{2} - a^{2}}{2 b c})}^{2} + {(\frac{c^{2} + a^{2} - b^{2}}{2 c a})}^{2} + {(\frac{a^{2} + b^{2} - c^{2}}{2 a b})}^{2} = 3,$ $then {what}^{'} s the value of$ $\frac{b^{2} + c^{2} - a^{2}}{2 b c} + \frac{c^{2} + a^{2} - b^{2}}{2 a c} + \frac{a^{2} + b^{2} - c^{2}}{2 a b} ?$

Question Number 84835 Answers: 0 Comments: 1

Question Number 84820 Answers: 1 Comments: 0

Question Number 84792 Answers: 0 Comments: 0

a,b,c≥0 a+b+c=3 show that (a)^(1/3) +(b)^(1/3) +(c)^(1/3) ≥ab+bc+ca

$a, b, c ⩾ 0$ $a + b + c = 3$ $s h o w t h a t$ $\sqrt[3]{a} + \sqrt[3]{b} + \sqrt[3]{c} ⩾ a b + b c + c a$

Question Number 84783 Answers: 1 Comments: 6

Question Number 84782 Answers: 1 Comments: 8

Find the last three digits of 2019^(2019) .

$F i n d t h e l a s t t h r e e d i g i t s o f 2019^{2019} .$

Question Number 84770 Answers: 2 Comments: 1

x^2 +y^2 = 30 (1/x)+(1/y) = 2 find the solution x & y ?

$x^{2} + y^{2} = 30$ $\frac{1}{x} + \frac{1}{y} = 2$ $find the solution x & y ?$

Question Number 84728 Answers: 0 Comments: 8

y=x[x[x]] with x∈R^+ find the range of function and solve x[x[x]]=150.

$y = x [x [x]] w i t h x \in R^{+}$ $f i n d t h e r a n g e o f f u n c t i o n$ $a n d s o l v e x [x [x]] = 150 .$

Question Number 84785 Answers: 1 Comments: 2

at what time is the short clock and long hour hand form an angle of 180 degrees?

$at what time is the short clock$ $and long hour hand form an$ $angle of 180 degrees ?$

Question Number 84711 Answers: 0 Comments: 2

Question Number 84632 Answers: 0 Comments: 0

Question Number 84588 Answers: 2 Comments: 0

if x − (1/x) = 9 x^3 −(1/x^3 ) = ?

$if x - \frac{1}{x} = 9$ $x^{3} - \frac{1}{x^{3}} = ?$

Question Number 84528 Answers: 0 Comments: 3

1=2

$1 = 2$

Question Number 84515 Answers: 1 Comments: 0

Q.solve x^3 −x=x!

$Q . s o l v e$ $x^{3} - x = x!$

Question Number 84430 Answers: 0 Comments: 4

Question Number 84420 Answers: 1 Comments: 2

Question Number 84404 Answers: 0 Comments: 1

(x^2 −2)(x^2 −4)(x^2 −6)...(x^2 −2020)=1 x=?

$(x^{2} - 2) (x^{2} - 4) (x^{2} - 6) . . . (x^{2} - 2020) = 1$ $x = ?$

Question Number 84394 Answers: 0 Comments: 2

find the solution ((2x)/(x−2)) ≤ ∣x−3∣

$find the solution$ $\frac{2 x}{x - 2} ⩽ ∣ x - 3 ∣$

Question Number 84393 Answers: 0 Comments: 0

if x^x .y^y .z^z =x^y .y^z .z^x =x^z .y^x .z^y such that x, y and z are positive intigers greater than 1 ,what is the value of xyz and x+y+z ?

$i f x^{x} . y^{y} . z^{z} = x^{y} . y^{z} . z^{x} = x^{z} . y^{x} . z^{y} s u c h t h a t x, y a n d z$ $a r e p o s i t i v e i n t i g e r s g r e a t e r t h a n 1$ $, w h a t i s t h e v a l u e o f x y z a n d x + y + z ?$

Question Number 84384 Answers: 0 Comments: 3

[x]^x =2(√2) , ∀x>0

${[x]}^{x} = 2 \sqrt{2}, \forall x > 0$

Question Number 84370 Answers: 2 Comments: 0

1.) ∣x∣ +∣x+2∣ <5 2.) ∣x∣ +∣x+2∣ + ∣2−x∣ ≤8

$1 .) ∣ x ∣ + ∣ x + 2 ∣ < 5$ $2 .) ∣ x ∣ + ∣ x + 2 ∣ + ∣ 2 - x ∣ ⩽ 8$

Question Number 84328 Answers: 0 Comments: 0

(3/7)×(1/2)ln[((u−1)/(u+1))]−(1/2)ln[u^2 −1]

$\frac{3}{7} \times \frac{1}{2} \ln [\frac{u - 1}{u + 1}] - \frac{1}{2} \ln [u^{2} - 1]$

Question Number 84315 Answers: 1 Comments: 0

∫xy dx

$\int x y d x$

Question Number 84293 Answers: 1 Comments: 0

solve in R x^([x]) +x^(2−[x]) =x^2 +1

$s o l v e i n R$ $x^{[x]} + x^{2 - [x]} = x^{2} + 1$

Question Number 84188 Answers: 0 Comments: 4

if 2x+3y = 2020? find maximum value 3x+2y for x and natural number

$if 2 x + 3 y = 2020 ?$ $find maximum value 3 x + 2 y for x and natural$ $number$

Question Number 84182 Answers: 2 Comments: 0

Find the number of solutions for positive integers (x,y,z) satisfying x+2y+3z=n.

$F i n d t h e n u m b e r o f s o l u t i o n s f o r$ $p o s i t i v e i n t e g e r s (x, y, z) s a t i s f y i n g$ $x + 2 y + 3 z = n .$

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