Question

Help to solve the equation involving complicate fractions

score 34 · Answer 1 · 2018-03-28 06:13:54

34

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Help to solve the equation involving complicate fractions

Published on 28 Mar 2018 - 6:13

score 94 · Answer 2 · 2018-03-28 09:40:17

94

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$ x^{2}- x- 4+ \frac{4\left ( x- 1 \right )^{2}}{\sqrt{3+ 2x-x^{2}}+ x+ 1}> 0 $

Published on 28 Mar 2018 - 9:40

score 385 · Answer 3 · 2026-03-25 20:36:12

385

Views

Proving $\frac{a}{a+ b}+ \frac{b}{b+ c}+ \frac{c}{2c+ 5a}\geq \frac{38}{39}$

Published on 25 Mar 2026 - 20:36

score 69 · Answer 4 · 2026-03-24 19:08:58

69

Views

An ellipse is tangent to a straight line

Published on 24 Mar 2026 - 19:08

score 353 · Answer 5 · 2018-04-02 07:38:35

353

Views

If $3x^2-6x+p=0$ has roots $\alpha$ and $\beta$, then find a quadratic with roots $(\alpha+\beta)/\alpha$ and $(\alpha+\beta)/\beta$

Published on 02 Apr 2018 - 7:38

score 5.4k · Answer 6 · 2018-04-02 10:11:05

5.4k

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Find all integer solutions of: $\;\frac{1}{m}+\frac{1}{n}-\frac{1}{mn^2}=\frac{3}{4}$

Published on 02 Apr 2018 - 10:11

score 44 · Answer 7 · 2018-04-03 04:00:13

44

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How I can solve $\log_{\frac{1}{(2+|x|)}}(5+x^2)=\log_{(3+x^2)}(15+\sqrt x)$

Published on 03 Apr 2018 - 4:00

score 51 · Answer 8 · 2026-03-25 01:24:14

51

Views

Finding the fixed point..

Published on 25 Mar 2026 - 1:24

score 81 · Answer 9 · 2018-04-04 14:43:49

81

Views

Roots of a Quadratic Equation - Upper Bounding

Published on 04 Apr 2018 - 14:43

score 55 · Answer 10 · 2018-04-04 21:02:06

55

Views

What is the probability of $f(x) = x^2 - 4x + 2^n$ having 2 zeroes, where $n$ is any real number between $0$ and $6$?

Published on 04 Apr 2018 - 21:02

score 902 · Answer 11 · 2026-03-25 07:40:06

902

Views

Solving equations by taking square roots

Published on 25 Mar 2026 - 7:40

score 55 · Answer 12 · 2018-04-06 21:25:15

55

Views

Solve system of equations: $2x^2-4y^2-\frac{3}{2}x+y=0 \land 3x^2-6y^2-2x+2y=\frac{1}{2}$

Published on 06 Apr 2018 - 21:25

score 65 · Answer 13 · 2018-04-07 13:31:00

65

Views

Solve equation: $\sqrt{x^2+x+1}=1-x-x^2$

Published on 07 Apr 2018 - 13:31

score 66 · Answer 14 · 2026-03-24 20:33:37

Prove that the center of the ellipse $Ax^2+Bxy+Cy^2+Dx+Ey+F=0$, where $A, B, C, D, E>0$, is not in the first quadrant of the $xy$-plane?

score 157 · Answer 15 · 2026-03-25 07:49:04

157

Views

Solving a Quadratic by factoring where the leading coefficient !-0

Published on 25 Mar 2026 - 7:49

List Question

Help to solve the equation involving complicate fractions

$ x^{2}- x- 4+ \frac{4\left ( x- 1 \right )^{2}}{\sqrt{3+ 2x-x^{2}}+ x+ 1}> 0 $

Proving $\frac{a}{a+ b}+ \frac{b}{b+ c}+ \frac{c}{2c+ 5a}\geq \frac{38}{39}$

An ellipse is tangent to a straight line

If $3x^2-6x+p=0$ has roots $\alpha$ and $\beta$, then find a quadratic with roots $(\alpha+\beta)/\alpha$ and $(\alpha+\beta)/\beta$

Find all integer solutions of: $\;\frac{1}{m}+\frac{1}{n}-\frac{1}{mn^2}=\frac{3}{4}$

How I can solve $\log_{\frac{1}{(2+|x|)}}(5+x^2)=\log_{(3+x^2)}(15+\sqrt x)$

Finding the fixed point..

Roots of a Quadratic Equation - Upper Bounding

What is the probability of $f(x) = x^2 - 4x + 2^n$ having 2 zeroes, where $n$ is any real number between $0$ and $6$?

Solving equations by taking square roots

Solve system of equations: $2x^2-4y^2-\frac{3}{2}x+y=0 \land 3x^2-6y^2-2x+2y=\frac{1}{2}$

Solve equation: $\sqrt{x^2+x+1}=1-x-x^2$

Prove that the center of the ellipse $Ax^2+Bxy+Cy^2+Dx+Ey+F=0$, where $A, B, C, D, E>0$, is not in the first quadrant of the $xy$-plane?

Solving a Quadratic by factoring where the leading coefficient !-0

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