Question

Why substitution in irrational equation doesn't give equivalent equation?

score 144 · Answer 1 · 2026-03-25 07:49:14

144

Views

Why substitution in irrational equation doesn't give equivalent equation?

Published on 25 Mar 2026 - 7:49

score 53 · Answer 2 · 2026-03-25 06:05:55

53

Views

Equivalence of two radical equations without certain conditions - correctness of method

Published on 25 Mar 2026 - 6:05

score 105 · Answer 3 · 2026-03-25 06:01:36

105

Views

Can fractional/decimal radicals/roots exist?

Published on 25 Mar 2026 - 6:01

score 74 · Answer 4 · 2026-03-25 04:43:22

74

Views

How To Solve $\frac{1}{X}\bigg\lfloor-\frac{3}{2}+\frac{1}{2}\sqrt{8X+9}\bigg\rfloor=\frac{1}{N}$ over the integers.

Published on 25 Mar 2026 - 4:43

score 107 · Answer 5 · 2026-03-25 04:41:05

107

Views

Solve $\frac{7}{x+\sqrt{x+5}}+\frac{7}{x-\sqrt{x+5}}=8$

Published on 25 Mar 2026 - 4:41

score 139 · Answer 6 · 2026-03-25 04:41:12

139

Views

Solve the equation $\sqrt{x^2-1}=(x+5)\sqrt{\frac{x+1}{x-1}}$

Published on 25 Mar 2026 - 4:41

score 161 · Answer 7 · 2026-03-25 04:40:36

161

Views

Solve the equation $\sqrt{45x^2-30x+1}=7+6x-9x^2$

Published on 25 Mar 2026 - 4:40

score 768 · Answer 8 · 2026-03-25 04:40:59

768

Views

Solve the equation $x+\frac{x}{\sqrt{x^2-1}}=\frac{35}{12}$

Published on 25 Mar 2026 - 4:40

score 125 · Answer 9 · 2026-03-25 06:05:23

125

Views

How many zeros does a radical equation (eg, $X^{4/3}-5X^{2/3}+6=0$) have?

Published on 25 Mar 2026 - 6:05

score 700 · Answer 10 · 2026-03-25 04:43:46

700

Views

The set of all $x$ satisfying, $\sqrt{4x+1} + \sqrt{7-x} = 6 $, consists of:

Published on 25 Mar 2026 - 4:43

score 179 · Answer 11 · 2026-03-25 04:43:40

179

Views

Calculate the sum of all irrational roots of $4\sqrt[3]{8x- 3}- 8x^{3}- 3= 0$

Published on 25 Mar 2026 - 4:43

score 27 · Answer 12 · 2026-03-25 04:38:04

27

Views

Solvable elements of a field extension

Published on 25 Mar 2026 - 4:38

score 194 · Answer 13 · 2026-03-25 04:43:56

194

Views

Pairs of integers $ (x,m)$ for which $\sqrt[3]{\sqrt[3]{x-2}+m}+\sqrt[3]{-\sqrt[3]{x-2}+m}=2$ hold?

Published on 25 Mar 2026 - 4:43

score 109 · Answer 14 · 2026-03-25 06:01:25

109

Views

Solving $\sqrt[3]{x-3}+\sqrt[3]{1-x}=1$

Published on 25 Mar 2026 - 6:01

score 324 · Answer 15 · 2026-03-25 04:35:18

324

Views

Does this root technically count as a solution to this radical equation?

Published on 25 Mar 2026 - 4:35

List Question

Why substitution in irrational equation doesn't give equivalent equation?

Equivalence of two radical equations without certain conditions - correctness of method

Can fractional/decimal radicals/roots exist?

How To Solve $\frac{1}{X}\bigg\lfloor-\frac{3}{2}+\frac{1}{2}\sqrt{8X+9}\bigg\rfloor=\frac{1}{N}$ over the integers.

Solve $\frac{7}{x+\sqrt{x+5}}+\frac{7}{x-\sqrt{x+5}}=8$

Solve the equation $\sqrt{x^2-1}=(x+5)\sqrt{\frac{x+1}{x-1}}$

Solve the equation $\sqrt{45x^2-30x+1}=7+6x-9x^2$

Solve the equation $x+\frac{x}{\sqrt{x^2-1}}=\frac{35}{12}$

How many zeros does a radical equation (eg, $X^{4/3}-5X^{2/3}+6=0$) have?

The set of all $x$ satisfying, $\sqrt{4x+1} + \sqrt{7-x} = 6 $, consists of:

Calculate the sum of all irrational roots of $4\sqrt[3]{8x- 3}- 8x^{3}- 3= 0$

Solvable elements of a field extension

Pairs of integers $ (x,m)$ for which $\sqrt[3]{\sqrt[3]{x-2}+m}+\sqrt[3]{-\sqrt[3]{x-2}+m}=2$ hold?

Solving $\sqrt[3]{x-3}+\sqrt[3]{1-x}=1$

Does this root technically count as a solution to this radical equation?

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