19-10-09 Solve an equation

VITEEE Answers › Question Of the Day questions › 19-10-09 Solve an equation

\sqrt{x+3-4\sqrt{x-1}}+\sqrt{x+8-6\sqrt{x-1}} = 1

Hint: Observe before you jump to solve ;)

Src: Mathematics and Problem Solving : Soifer

#Miscellaneous #Question Of the Day

UP 0 DOWN 0 1 8
Post on FacebookPost anonymously?

8 Answers

11

Mani Pal Singh ·2009-11-09 06:09:27

[13]
x=10 [4]

UP 0 DOWN 0
Post on FacebookPost anonymously?

11

Mani Pal Singh ·2009-11-09 06:10:41

x-1=k²=question done

UP 0 DOWN 0
Post on FacebookPost anonymously?

62

Lokesh Verma ·2009-11-09 06:15:55

You killed this one :P

Someone who can finish this off?

UP 0 DOWN 0
Post on FacebookPost anonymously?

11

Tush Watts ·2009-11-09 06:23:13

Frm Mani pal's hint,

put x-1 = k²
so x = k ² +1

(√k ² - 4k +4) + (√k² - 6k +9 ) = 1

On solving , we get

|k-2| + |k-3| = 1

UP 0 DOWN 0
Post on FacebookPost anonymously?

3

msp ·2009-11-09 07:20:08

ohhh i think this will be the first qn which is solved within 4 minutes.

UP 0 DOWN 0
Post on FacebookPost anonymously?

11

Mani Pal Singh ·2009-11-09 09:51:30

col
thats y i was sleeping
:((((((

UP 0 DOWN 0
Post on FacebookPost anonymously?

11

Mani Pal Singh ·2009-11-09 09:52:16

but x=10 satisfies the equation
put it :|

UP 0 DOWN 0
Post on FacebookPost anonymously?

11

Mani Pal Singh ·2009-11-09 09:53:49

x=5 and also x=7.5
:((((((((

UP 0 DOWN 0
Post on FacebookPost anonymously?

Your Answer

Basic Integral Calculus Operators Symbols Matrix Cases

√ √ || {} [] () → ~ ^ x x x → → ln log lg lim lim cos sin tan cot arcsin arccos arctan

∫ ∫ ∫ ∫ ∫ ∬ ∬ ∬ ∬ ∬ ∭ ∭ ∭ ∭ ∭ ⨌ ⨌ ⨌ ⨌ ⨌

∑ ∑ ∑ ∑ ∑ ∮ ∮ ∮ ∮ ∮ ∏ ∏ ∏ ∏ ∏ ∐ ∐ ∐ ∐ ∐

+ - × ÷ ± ∓ = ∪ ∩ ≠ ∼ ≈ ∅ ∀ ∃ ∈ ∋ ∝ ≤ ≥ ≃ ≅ ≡ < > ≪ ≫ ⊂ ∉ ⊃ ⊆ ⊇ ⇒ ⇐ ⇔ ⇒ ⇐ ⇔ ⇑ ⇓ ⇕ → ← ↔ → ← ↔ ↑ ↓ ↕ ↖ ↗ ↘ ↙ ↪ ↩ ⇀ ↼ ⇁ ↽

° ∂ ∞ α β γ δ θ λ μ ν ξ π ρ σ φ ω ε ƒ κ τ υ Γ Δ Λ Σ Π Ω