Question

Show that if $a > 0$, then $ax^2 + bx + c ≥ 0$ for all values of $x$ if and only if $b^2 − 4ac ≤ 0$.

score 4.5k · Answer 1 · 2016-08-08 05:09:33

4.5k

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Show that if $a > 0$, then $ax^2 + bx + c ≥ 0$ for all values of $x$ if and only if $b^2 − 4ac ≤ 0$.

Published on 08 Aug 2016 - 5:09

score 162 · Answer 2 · 2026-03-26 19:01:06

162

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Smart way to deal with factoring quadratics?

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score 778 · Answer 3 · 2016-08-10 06:36:51

Find the values for $k$ such that the system of equations: $x^2+y^2=k$ and $y^2=4(x-2)$ has no solutions, a unique solution and two solutions?

score 72 · Answer 4 · 2016-08-11 06:48:44

72

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Help simplify using quadratic formula

Published on 11 Aug 2016 - 6:48

score 50 · Answer 5 · 2016-08-12 09:26:35

50

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score 59 · Answer 6 · 2026-03-30 23:11:06

59

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Absolute value Inequality with quadratics. -x|x| > 4

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score 108 · Answer 7 · 2016-08-15 06:28:22

108

Views

A quadratic equation

Published on 15 Aug 2016 - 6:28

score 3.1k · Answer 8 · 2016-08-17 00:11:25

3.1k

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How do I determine the values of $k$ for which $3x^2 + kx+12 = 0$ has no real solutions, $1$ real solution, and $2$ real solutions?

Published on 17 Aug 2016 - 0:11

score 62 · Answer 9 · 2016-08-17 18:17:03

62

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Prove there exists at most 2 quadratics permuting a set of complex numbers

Published on 17 Aug 2016 - 18:17

score 86 · Answer 10 · 2016-08-18 01:31:03

86

Views

conditions for the two functions have the same maximizer

Published on 18 Aug 2016 - 1:31

score 166 · Answer 11 · 2026-04-02 11:15:24

166

Views

How to prove independence of system of quadratic equations

Published on 02 Apr 2026 - 11:15

score 37 · Answer 12 · 2016-08-18 08:38:59

37

Views

Factorising the Quadratic

Published on 18 Aug 2016 - 8:38

score 77 · Answer 13 · 2016-08-18 13:50:25

77

Views

How can I pick values for a quadratic formula that are easily solvable?

Published on 18 Aug 2016 - 13:50

score 108 · Answer 14 · 2016-08-18 18:55:18

108

Views

Find $m$ so that equation has two roots inside given interval

Published on 18 Aug 2016 - 18:55

score 459 · Answer 15 · 2016-08-20 13:34:48

459

Views

What is the sum of all integer values of $x$ such that ${(x^2-17x+71)}^{(x^2-34x+240)}=1$?

Published on 20 Aug 2016 - 13:34

List Question

Show that if $a > 0$, then $ax^2 + bx + c ≥ 0$ for all values of $x$ if and only if $b^2 − 4ac ≤ 0$.

Smart way to deal with factoring quadratics?

Find the values for $k$ such that the system of equations: $x^2+y^2=k$ and $y^2=4(x-2)$ has no solutions, a unique solution and two solutions?

Help simplify using quadratic formula

What is the solution of this quadratic equation problem?

Absolute value Inequality with quadratics. -x|x| > 4

A quadratic equation

How do I determine the values of $k$ for which $3x^2 + kx+12 = 0$ has no real solutions, $1$ real solution, and $2$ real solutions?

Prove there exists at most 2 quadratics permuting a set of complex numbers

conditions for the two functions have the same maximizer

How to prove independence of system of quadratic equations

Factorising the Quadratic

How can I pick values for a quadratic formula that are easily solvable?

Find $m$ so that equation has two roots inside given interval

What is the sum of all integer values of $x$ such that ${(x^2-17x+71)}^{(x^2-34x+240)}=1$?

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