Question

If the given quadratic equation has two integral roots $\alpha$ and $\beta$ then find $\alpha + \beta$ and $|\alpha-\beta|$

score 340 · Answer 1 · 2026-04-03 11:01:54

340

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If the given quadratic equation has two integral roots $\alpha$ and $\beta$ then find $\alpha + \beta$ and $|\alpha-\beta|$

Published on 03 Apr 2026 - 11:01

score 78 · Answer 2 · 2020-06-08 13:04:11

78

Views

Complex number square roots

Published on 08 Jun 2020 - 13:04

score 179 · Answer 3 · 2026-04-09 00:51:49

179

Views

Find solution set of $\dfrac{8^x+27^x}{12^x+18^x}=\dfrac{14}{12}$

Published on 09 Apr 2026 - 0:51

score 106 · Answer 4 · 2026-03-26 02:53:53

106

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How do you solve $2^x-x=3$?

Published on 26 Mar 2026 - 2:53

score 61 · Answer 5 · 2026-04-11 08:42:08

61

Views

Finding relation between coefficients in a limit

Published on 11 Apr 2026 - 8:42

score 973 · Answer 6 · 2020-06-11 04:24:41

973

Views

Determining the number of zeros of a function

Published on 11 Jun 2020 - 4:24

score 28 · Answer 7 · 2026-04-10 12:57:10

28

Views

How solve the equation $Ax^B+C = y$

Published on 10 Apr 2026 - 12:57

score 117 · Answer 8 · 2026-04-03 07:41:58

117

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Solve the equation $\sqrt{x^{2}+ 8}- \sqrt{x^{2}+ 3}+ 2x^{3}- x- 2= 0$ .

Published on 03 Apr 2026 - 7:41

score 303 · Answer 9 · 2026-04-03 12:38:34

303

Views

How to solve $x^2+3x+17\equiv 0\pmod{315}$?

Published on 03 Apr 2026 - 12:38

score 54 · Answer 10 · 2020-06-12 00:04:47

54

Views

Proving that $h\left(x\right)=x^2-5x+\ln \left(\left|-x+4\right|\right)$ has only one real root in $\left[0,2\right]$

Published on 12 Jun 2020 - 0:04

score 387 · Answer 11 · 2026-03-25 06:00:13

387

Views

Rouché's theorem in annulus $1<|z|<2$

Published on 25 Mar 2026 - 6:00

score 142 · Answer 12 · 2026-03-27 01:44:58

142

Views

Existence Of A Cubic Whose Derivatives Have The Same Roots

Published on 27 Mar 2026 - 1:44

score 37 · Answer 13 · 2020-06-14 11:21:55

37

Views

roots of the equation $h(x)=1+2(x+1)^{2/x}-(2^{x+1}-1)^{2/x}$ for $x>0$

Published on 14 Jun 2020 - 11:21

score 169 · Answer 14 · 2020-06-14 13:37:05

169

Views

Find all real values of $m$ such that all the roots of $f(x)=x^3-(m+2)x^2+(m^2+1)x-1$ are real

Published on 14 Jun 2020 - 13:37

score 62 · Answer 15 · 2026-04-04 05:17:14

62

Views

When we are finding a root to a polynomial say f(x), we put some constant

Published on 04 Apr 2026 - 5:17

List Question

If the given quadratic equation has two integral roots $\alpha$ and $\beta$ then find $\alpha + \beta$ and $|\alpha-\beta|$

Complex number square roots

Find solution set of $\dfrac{8^x+27^x}{12^x+18^x}=\dfrac{14}{12}$

How do you solve $2^x-x=3$?

Finding relation between coefficients in a limit

Determining the number of zeros of a function

How solve the equation $Ax^B+C = y$

Solve the equation $\sqrt{x^{2}+ 8}- \sqrt{x^{2}+ 3}+ 2x^{3}- x- 2= 0$ .

How to solve $x^2+3x+17\equiv 0\pmod{315}$?

Proving that $h\left(x\right)=x^2-5x+\ln \left(\left|-x+4\right|\right)$ has only one real root in $\left[0,2\right]$

Rouché's theorem in annulus $1<|z|<2$

Existence Of A Cubic Whose Derivatives Have The Same Roots

roots of the equation $h(x)=1+2(x+1)^{2/x}-(2^{x+1}-1)^{2/x}$ for $x>0$

Find all real values of $m$ such that all the roots of $f(x)=x^3-(m+2)x^2+(m^2+1)x-1$ are real

When we are finding a root to a polynomial say f(x), we put some constant

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