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AlgebraQuestion and Answers: Page 233

Question Number 117027 Answers: 2 Comments: 0

solve: ((x − 4)/(x − 3)) < ((2x − 1)/2)

$solve : \frac{x - 4}{x - 3} < \frac{2 x - 1}{2}$

Question Number 117026 Answers: 2 Comments: 0

((√(1−x))/( (√x))) + ((√x)/( (√(1−x)))) = ((13)/6)

$\frac{\sqrt{1 - x}}{\sqrt{x}} + \frac{\sqrt{x}}{\sqrt{1 - x}} = \frac{13}{6}$

Question Number 116921 Answers: 1 Comments: 0

Question Number 116917 Answers: 1 Comments: 0

Find the greatest coefficient and greatest term in (3x − 2)^(− 7) . Sir is it: (− 1)^(− 7) .(2 − 3x)^(− 7) = − (2 − 3x)^(− 7) = − ((8008 × 2^(10) )/3^(17) )

$Find the greatest coefficient and greatest term in$ ${(3 x - 2)}^{- 7} .$ $Sir is it : {(- 1)}^{- 7} . {(2 - 3 x)}^{- 7} = - {(2 - 3 x)}^{- 7}$ $= - \frac{8008 \times 2^{10}}{3^{17}}$

Question Number 116913 Answers: 1 Comments: 0

Question Number 116854 Answers: 4 Comments: 0

... calculus elementary algebra ... please solve :: ((6x+9))^(1/3) +((7−7x))^(1/3) +((x−8))^(1/3) =2 ...m.n.july.1970...

$. . . c a l c u l u s e l e m e n t a r y a l g e b r a . . .$ $p l e a s e s o l v e ::$ $\sqrt[3]{6 x + 9} + \sqrt[3]{7 - 7 x} + \sqrt[3]{x - 8} = 2$ $. . . m . n . j u l y . 1970 . . .$

Question Number 116824 Answers: 2 Comments: 0

Given a>b>0 , a&b real number such that a^2 −ab+b^2 =7 and a−ab+b=−1. find the value of a^2 −b^2

$Given a > b > 0, a & b real number such that$ $a^{2} - ab + b^{2} = 7 and a - ab + b = - 1 .$ $find the value of a^{2} - b^{2}$

Question Number 116780 Answers: 2 Comments: 1

Question Number 116683 Answers: 2 Comments: 0

Given 1+3+5+7=16 we know that 16=4^2 and 4 is the half of 8 which is the successor of 7. conjecture the result of this sum: 1+3+5+7+...+25

$Given 1 + 3 + 5 + 7 = 16 we know that$ $16 = 4^{2} and 4 is the half of 8 which is the$ $successor of 7 .$ $conjecture the result of this sum :$ $1 + 3 + 5 + 7 + . . . + 25$

Question Number 116759 Answers: 2 Comments: 0

Question Number 116722 Answers: 1 Comments: 0

find the range of values of k for which the equation e^x −5=k has no solution

$f i n d t h e r a n g e o f v a l u e s o f k f o r$ $w h i c h t h e e q u a t i o n e^{x} - 5 = k h a s n o$ $s o l u t i o n$

Question Number 116633 Answers: 1 Comments: 0

Question Number 116529 Answers: 1 Comments: 1

Question Number 116509 Answers: 2 Comments: 0

x^4 −48x^2 +x+565=0 x=?

$x^{4} - {48 x}^{2} + x + 565 = 0$ $x = ?$

Question Number 116507 Answers: 1 Comments: 0

Question Number 116452 Answers: 2 Comments: 0

Question Number 116358 Answers: 2 Comments: 0

Given that ((17−((27)/4)(√6)))^(1/(3 )) and ((17+((27)/4)(√6)))^(1/(3 )) are the roots of the equation x^2 −ax+b = 0. Find the value of ab.

$Given that \sqrt[3]{17 - \frac{27}{4} \sqrt{6}} and \sqrt[3]{17 + \frac{27}{4} \sqrt{6}}$ $are the roots of the equation$ $x^{2} - ax + b = 0 . Find the value of ab .$

Question Number 116323 Answers: 2 Comments: 0

(1)Let a,b and c real number such that ((ab)/(a+b)) = (1/3), ((bc)/(b+c)) = (1/4) and ((ac)/(a+c)) = (1/5). Find the value of ((24abc)/(ab+ac+bc)) ? (2) Let p and q be two real number that satisfy p.q=2013. What is the minimum value of (p+q)^2 ?

$(1) Let a, b and c real number such that$ $\frac{ab}{a + b} = \frac{1}{3}, \frac{bc}{b + c} = \frac{1}{4} and \frac{ac}{a + c} = \frac{1}{5} . Find$ $the value of \frac{24 abc}{ab + ac + bc} ?$ $(2) Let p and q be two real number that$ $satisfy p . q = 2013 . What is the minimum$ $value of {(p + q)}^{2} ?$

Question Number 116301 Answers: 2 Comments: 0

What is the condition for a given line to 1) intersect a curve 2) be a tangent to a curve 3) not to intersect a curve

$What is the condition for a$ $given line to$ $1) intersect a curve$ $2) be a tangent to a curve$ $3) not to intersect a curve$

Question Number 116259 Answers: 1 Comments: 0

Question Number 116253 Answers: 0 Comments: 0

(1) Show that Σ_(i = 0) ^n L_i (x) = 1 (2) Show that Σ_(i = 0) ^n L_i (x). x_i ^k = x^k , k ≤ n

$(1) Show that \underset{i = 0}{\sum^{n}} L_{i} (x) = 1$ $(2) Show that \underset{i = 0}{\sum^{n}} L_{i} (x) . x_{i}^{k} = x^{k}, k ⩽ n$

Question Number 116221 Answers: 3 Comments: 0

Given α,β and ϕ are the roots of x^3 −px^2 +qx−pq = 0 . Find the value of (α/β)+(β/α)+(β/ϕ)+(ϕ/β)+(α/ϕ)+(ϕ/α)=?

$Given α, β and φ are the roots of$ $x^{3} - {px}^{2} + qx - pq = 0 .$ $Find the value of \frac{α}{β} + \frac{β}{α} + \frac{β}{φ} + \frac{φ}{β} + \frac{α}{φ} + \frac{φ}{α} = ?$

Question Number 116192 Answers: 2 Comments: 1

Question Number 116173 Answers: 0 Comments: 2

How many ways can the letters of the word DENKENMATHEMATICAL be arranged if no same letters must be together

$How many ways can the letters of the word DENKENMATHEMATICAL$ $be arranged if no same letters must be together$

Question Number 116163 Answers: 1 Comments: 0

I need a general rule for factorising 1) a^n +b^n 2) a^n −b^n when n is even and when n is odd.

$I need a general rule for factorising$ $1) a^{n} + b^{n}$ $2) a^{n} - b^{n}$ $when n is even and when n is odd .$

Question Number 116138 Answers: 3 Comments: 1

If α and β are the roots of the quadratic equation x^2 −10x+2=0 and α >β, find: (i) (1/β)−(1/α) (ii)α^3 −β^3

$If α and β are the roots of$ $the quadratic equation$ $x^{2} - 10 x + 2 = 0 and α > β, find :$ $(i) \frac{1}{β} - \frac{1}{α}$ $(ii) α^{3} - β^{3}$

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