Question

If $a,b,c$ are in Geometric Progression, then prove that the equations $ax^2+2bx+c=0$ and $dx^2+2ex+f=0$ have a common root

score 135 · Answer 1 · 2019-12-25 12:15:03

If $a,b,c$ are in Geometric Progression, then prove that the equations $ax^2+2bx+c=0$ and $dx^2+2ex+f=0$ have a common root

score 75 · Answer 2 · 2019-12-25 16:36:50

75

Views

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41

Views

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score 100 · Answer 4 · 2019-12-28 00:53:03

100

Views

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86

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150

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List Question

If $a,b,c$ are in Geometric Progression, then prove that the equations $ax^2+2bx+c=0$ and $dx^2+2ex+f=0$ have a common root

Solution of quadratic equation

what $a$ that makes $(a - \sqrt 2) x^2 + (a - \sqrt 2)x + a - 1$ always below $x$-axis

Find $p$ and $q$ such that $x^2+px+q<x$ iff $x \in (1,5)$

Maximum and minimum of $f(x) = 2\sin^2 x + 2\cos^4 x$

solving quadratic equations.

Po-Shen Loh's new way of solving quadratic equation

Proof of inequality in triangle

How to solve this quadratic equation (with $x$ represented by a fraction containing a square root)?

Forming a Hessian Matrix of particular functions

Solve a system of equations for positive ($x$, $y$, $z$)

General equation for a parabola given 2 points and the maximum

How to solve equation system with 3 parameters

How to factor a quadratic function based on variables not numbers?

Interpreting relationship between points on a quadratic curve

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