Question

Let $y=x^2+ax+b$ cuts the coordinate axes at three distinct points. Show that the circle passing through these 3 points also passes through $(0,1)$.

score 1.3k · Answer 1 · 2015-05-12 16:44:05

1.3k

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Let $y=x^2+ax+b$ cuts the coordinate axes at three distinct points. Show that the circle passing through these 3 points also passes through $(0,1)$.

Published on 12 May 2015 - 16:44

score 960 · Answer 2 · 2015-05-12 17:28:15

960

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507

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455

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score 112 · Answer 7 · 2015-05-17 06:36:32

112

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score 2.1k · Answer 8 · 2015-05-17 09:53:45

2.1k

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score 834 · Answer 11 · 2015-05-20 07:36:51

834

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489

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score 3.2k · Answer 13 · 2015-05-20 21:02:55

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score 80 · Answer 14 · 2026-03-26 07:30:49

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score 7.8k · Answer 15 · 2015-05-22 18:28:36

7.8k

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Published on 22 May 2015 - 18:28

List Question

Let $y=x^2+ax+b$ cuts the coordinate axes at three distinct points. Show that the circle passing through these 3 points also passes through $(0,1)$.

Finding real coefficients of equation given that $a+ib$ is a root

How to know if equation can be solved by factorising before trying?

Finding conditions to make roots of a quadratic less than one in magnitude

Intuitive understanding of factoring quadratic equations

How to find cotangent?

To find $x$ in $x^2 -8x-11=0$

Solving equations with exponentials and a non-exponential term.

Real world example of need for quadratic equation

Reverse Polish Notation Quadratic formula

Can anyone help me solve this?

How to solve an equation with $x^4$?

Probability of $ax^2 + bx + c = 0$ having real solutions

Finding Both Missing Co-ordinates in distance formula

If a quadratic equation $ax^2+bx+c=0$ has more than two roots, then $a=b=c=0$

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