Question

Solve the equation : $e^{2x}+e^{x}\left(3-5\cos x\right)+1=0$

score 116 · Answer 1 · 2026-04-16 02:23:48

116

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Solve the equation : $e^{2x}+e^{x}\left(3-5\cos x\right)+1=0$

Published on 16 Apr 2026 - 2:23

score 66 · Answer 2 · 2026-04-17 12:33:32

66

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Spivak, Ch. 4 Graphs, Problem 15: Draw the graph of $f(x)=ax^2+bx+c$?

Published on 17 Apr 2026 - 12:33

score 397 · Answer 3 · 2026-04-09 00:36:44

397

Views

What conditions would make a system of two quadratic equations have one real solution?

Published on 09 Apr 2026 - 0:36

score 108 · Answer 4 · 2026-04-15 16:31:27

Find the quadratic equation with real coefficients and solutions $x_1,x_2$ if you know that $\Delta =b^2-4ac=-36$ and $x_1+x_2=6m$

score 248 · Answer 5 · 2026-04-16 11:07:10

248

Views

Finding the range of $y =\frac{x^2+2x+4}{2x^2+4x+9}$ (and $y=\frac{\text{quadratic}}{\text{quadratic}}$ in general)

Published on 16 Apr 2026 - 11:07

score 125 · Answer 6 · 2026-04-10 23:44:59

125

Views

How to convert a quadratic solution to an unusual format

Published on 10 Apr 2026 - 23:44

score 63 · Answer 7 · 2026-04-24 03:50:18

63

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How to factor $4d^2 -16w^2 -4cd+c^2$ ( from Hart William L., Intermediate Algebra, 1948)

Published on 24 Apr 2026 - 3:50

score 64 · Answer 8 · 2026-04-11 01:08:54

64

Views

Does every quadratic polynomial defined in real numbers always define a function?

Published on 11 Apr 2026 - 1:08

score 239 · Answer 9 · 2026-05-05 20:00:33

239

Views

Is an equation only a parabola if it is quadratic? Could the graph of $y = x^{1.65}$ be described as parabolic in shape?

Published on 05 May 2026 - 20:00

score 77 · Answer 10 · 2026-04-15 14:11:44

77

Views

The equation $y = x^2 + \frac{1}{2}ax + a$ represents a parabola for all real values of $a$

Published on 15 Apr 2026 - 14:11

score 373 · Answer 11 · 2026-04-15 08:12:33

373

Views

Why, in the rules regarding the discriminant determining whether roots are real or not, does it matter that the quadratic has real coefficients?

Published on 15 Apr 2026 - 8:12

score 130 · Answer 12 · 2026-04-10 16:00:16

130

Views

Number of Quadratic equation with different condition

Published on 10 Apr 2026 - 16:00

score 487 · Answer 13 · 2026-04-14 23:05:22

487

Views

Are there any two real nonzero numbers $a$ and $b$ such that $a^2+ab+b^2 = 0$ Why or why not?

Published on 14 Apr 2026 - 23:05

score 327 · Answer 14 · 2026-04-15 04:38:11

327

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Suppose the cofficients of a quadratic are rational. How can we use the discriminant to determine if the roots are also rational?

Published on 15 Apr 2026 - 4:38

score 96 · Answer 15 · 2026-04-14 12:14:52

96

Views

find the value of the product of roots of this quadratic equation

Published on 14 Apr 2026 - 12:14

List Question

Solve the equation : $e^{2x}+e^{x}\left(3-5\cos x\right)+1=0$

Spivak, Ch. 4 Graphs, Problem 15: Draw the graph of $f(x)=ax^2+bx+c$?

What conditions would make a system of two quadratic equations have one real solution?

Find the quadratic equation with real coefficients and solutions $x_1,x_2$ if you know that $\Delta =b^2-4ac=-36$ and $x_1+x_2=6m$

Finding the range of $y =\frac{x^2+2x+4}{2x^2+4x+9}$ (and $y=\frac{\text{quadratic}}{\text{quadratic}}$ in general)

How to convert a quadratic solution to an unusual format

How to factor $4d^2 -16w^2 -4cd+c^2$ ( from Hart William L., Intermediate Algebra, 1948)

Does every quadratic polynomial defined in real numbers always define a function?

Is an equation only a parabola if it is quadratic? Could the graph of $y = x^{1.65}$ be described as parabolic in shape?

The equation $y = x^2 + \frac{1}{2}ax + a$ represents a parabola for all real values of $a$

Why, in the rules regarding the discriminant determining whether roots are real or not, does it matter that the quadratic has real coefficients?

Number of Quadratic equation with different condition

Are there any two real nonzero numbers $a$ and $b$ such that $a^2+ab+b^2 = 0$ Why or why not?

Suppose the cofficients of a quadratic are rational. How can we use the discriminant to determine if the roots are also rational?

find the value of the product of roots of this quadratic equation

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