List questions from quadratics

Published on 07 Feb 2018 - 12:18

55

Views

Quadratic equation with a parameter

Published on 07 Feb 2018 - 15:32

915

Views

Find $f$ if $f(f(x))=ax^2+bx+c$

Published on 24 Mar 2026 - 23:46

77

Views

Solving an cubic equation

Published on 08 Feb 2018 - 10:13

53

Views

Graph of a parabola

Published on 08 Feb 2018 - 18:02

49

Views

Find the area of the square $OABC$

Published on 09 Feb 2018 - 7:46

96

Views

Quadratic equation -

Published on 10 Feb 2018 - 0:33

56

Views

Quadratic function problem

Published on 10 Feb 2018 - 7:05

89

Views

Quadratics/Algebra word Problem (based on physics)

Published on 23 Mar 2026 - 1:00

36

Views

If we know the the slopes of two tangents at a certain $x$-value and a certain $y$-value, how to find quadratic function with these characteristics?

Published on 23 Mar 2026 - 12:53

872

Views

If the equation $x^2+qx+rp=0$ and $x^2+rx+pq=0$ have a common root, the other root will satisfy which of the equations

Published on 11 Feb 2018 - 15:15

905

Views

If $a,b$ are the roots of $x^2-px+q=0$ and $a',b'$ are the roots of $x^2-p'x+q'=0$, then find the value of $(a-a')^2+(b-b')^2+(a-b')^2+(b-a)^2$

Published on 11 Feb 2018 - 15:58

373

Views

If a is one of the root of the equation 4x^2+2x-1=0. Then find the other root

Published on 11 Feb 2018 - 16:20

44

Views

Factoring $qz^2+2pz+q$ via the quadratic equation

Published on 24 Mar 2026 - 23:45

353

Views

Prove that $(x-y)(y-z)(z-x) \leq \frac{1}{\sqrt{2}}$

Published on 23 Mar 2026 - 1:33

List Question

Parabola graph problem

Quadratic equation with a parameter

Find $f$ if $f(f(x))=ax^2+bx+c$

Solving an cubic equation

Graph of a parabola

Find the area of the square $OABC$

Quadratic equation -

Quadratic function problem

Quadratics/Algebra word Problem (based on physics)

If we know the the slopes of two tangents at a certain $x$-value and a certain $y$-value, how to find quadratic function with these characteristics?

If the equation $x^2+qx+rp=0$ and $x^2+rx+pq=0$ have a common root, the other root will satisfy which of the equations

If $a,b$ are the roots of $x^2-px+q=0$ and $a',b'$ are the roots of $x^2-p'x+q'=0$, then find the value of $(a-a')^2+(b-b')^2+(a-b')^2+(b-a)^2$

If a is one of the root of the equation 4x^2+2x-1=0. Then find the other root

Factoring $qz^2+2pz+q$ via the quadratic equation

Prove that $(x-y)(y-z)(z-x) \leq \frac{1}{\sqrt{2}}$

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