Question

Is it possible isolate a variable thats on one side of the equation multiplying and dividing, and it's also on the other side

score 92 · Answer 1 · 2023-04-05 22:29:41

92

Views

Is it possible isolate a variable thats on one side of the equation multiplying and dividing, and it's also on the other side

Published on 05 Apr 2023 - 22:29

score 265 · Answer 2 · 2026-03-27 04:23:52

265

Views

If $x^2+px-q=0$ and $x^2+px+q=0$ have integer roots for real $p$ and $q$, then $p^2=a^2+b^2$ for some integers $a$ and $b$

Published on 27 Mar 2026 - 4:23

score 41 · Answer 3 · 2023-04-14 09:56:16

41

Views

Derivation of Axis of Symmetry from Quadratic Equation in Standard Form

Published on 14 Apr 2023 - 9:56

score 82 · Answer 4 · 2023-04-14 11:09:50

Show that the expression $\frac{px^2+3x-4}{p+3x-4x^2}$ will be capable of all values when $x$ is real, provided that p has any value between 1 and 7 .

score 104 · Answer 5 · 2023-04-14 12:40:10

If the roots of $ax^2+2bx+c=0$ be real and different, then the roots of $(a+c)(ax^2+2bx+c)=2(ac-b^2)(x^2+1)$ will be imaginary and vice-versa .

score 139 · Answer 6 · 2026-04-04 12:57:19

139

Views

Maximize $\sum\limits_{\mathrm{cyc}} a$ for $a^2+b^2+c^2+d^2+a+3b+5c+7d=4$

Published on 04 Apr 2026 - 12:57

score 117 · Answer 7 · 2023-04-16 06:27:49

Find the condition that the expressions $ax^2+2hxy+by^2$,$a'x^2+2h'xy+b'y^2$ may be respectively divisible by factors of the form $y-mx$, $my+x$ .

score 295 · Answer 8 · 2023-04-16 12:31:12

If $x$ and $y$ are two real quantities connected by the equation $9x^2+2xy+y^2-92x-20y+244=0$ then will $x \in [3,6]$, and $y \in [1,10]$?

score 49 · Answer 9 · 2026-03-30 00:22:43

49

Views

Can anyone show me $V(r)=V_0\ln(\frac{b}{a}) \ln(r)-V_0\ln(\frac{b}{a}) \ln(b)=\frac{V_0}{\ln(\frac{a}{b})}\ln(\frac{r}{b})$?

Published on 30 Mar 2026 - 0:22

score 63 · Answer 10 · 2026-03-31 21:04:21

63

Views

factorizing quadratic methods

Published on 31 Mar 2026 - 21:04

score 73 · Answer 11 · 2026-03-30 00:22:48

73

Views

Why the factors of a quadratic equation $ax^2 + bx + c$ are given as $(x - \alpha)(x - \beta)$ and not as $(x + \alpha) (x + \beta)$

Published on 30 Mar 2026 - 0:22

score 55 · Answer 12 · 2026-04-05 12:16:18

55

Views

Analytic solutions for $x$ in $0 = c + \sqrt{y_{0} + m_{0} x} + \sqrt{y_{1} + m_{1} x}$

Published on 05 Apr 2026 - 12:16

score 69 · Answer 13 · 2023-04-23 20:48:09

69

Views

Solve quadratic equation expressed as sum of quadratic terms

Published on 23 Apr 2023 - 20:48

score 205 · Answer 14 · 2023-04-24 14:02:23

205

Views

Applying the quadratic formula on a constant

Published on 24 Apr 2023 - 14:02

score 333 · Answer 15 · 2026-03-26 08:14:54

333

Views

If $a^2-a-1=0$ where $a\gt0$, then what does $a^6$ equal? (Olympiad question)

Published on 26 Mar 2026 - 8:14

List Question

Is it possible isolate a variable thats on one side of the equation multiplying and dividing, and it's also on the other side

If $x^2+px-q=0$ and $x^2+px+q=0$ have integer roots for real $p$ and $q$, then $p^2=a^2+b^2$ for some integers $a$ and $b$

Derivation of Axis of Symmetry from Quadratic Equation in Standard Form

Show that the expression $\frac{px^2+3x-4}{p+3x-4x^2}$ will be capable of all values when $x$ is real, provided that p has any value between 1 and 7 .

If the roots of $ax^2+2bx+c=0$ be real and different, then the roots of $(a+c)(ax^2+2bx+c)=2(ac-b^2)(x^2+1)$ will be imaginary and vice-versa .

Maximize $\sum\limits_{\mathrm{cyc}} a$ for $a^2+b^2+c^2+d^2+a+3b+5c+7d=4$

Find the condition that the expressions $ax^2+2hxy+by^2$,$a'x^2+2h'xy+b'y^2$ may be respectively divisible by factors of the form $y-mx$, $my+x$ .

If $x$ and $y$ are two real quantities connected by the equation $9x^2+2xy+y^2-92x-20y+244=0$ then will $x \in [3,6]$, and $y \in [1,10]$?

Can anyone show me $V(r)=V_0\ln(\frac{b}{a}) \ln(r)-V_0\ln(\frac{b}{a}) \ln(b)=\frac{V_0}{\ln(\frac{a}{b})}\ln(\frac{r}{b})$?

factorizing quadratic methods

Why the factors of a quadratic equation $ax^2 + bx + c$ are given as $(x - \alpha)(x - \beta)$ and not as $(x + \alpha) (x + \beta)$

Analytic solutions for $x$ in $0 = c + \sqrt{y_{0} + m_{0} x} + \sqrt{y_{1} + m_{1} x}$

Solve quadratic equation expressed as sum of quadratic terms

Applying the quadratic formula on a constant

If $a^2-a-1=0$ where $a\gt0$, then what does $a^6$ equal? (Olympiad question)

Trending Questions

Popular # Hahtags

Popular Questions