Let us take an example 1 If x + X => x² + 2, what is the value of x4 + 2 1 x4 We have (x + (x + ²)² 1)² = 2² => x² + => x² + 1 X² S > (x² + √2/2)² = 2² => 1 X2 1 xt =4-2=2 2² => x++ = 4-2=2. 1 xt 1 + +2=4 x² + 2 = 4 I

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section9.3: Systems Of Inequalities
Problem 15E
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Let us take an example
1
If x +
X
=> x² +
2, what is the value of x4 + 2
1
x4
We have (x +
(x + ²)²
1)² = 2² => x² +
=> x² +
1
x²
=>
> (x² + √2/2)² = 2² =>
1
X2
= 4-2=2
1
xt
2² => x+ +
= 4-2=2.
1
x+
1
x62
+2=4
+2 = 4
I
Transcribed Image Text:Let us take an example 1 If x + X => x² + 2, what is the value of x4 + 2 1 x4 We have (x + (x + ²)² 1)² = 2² => x² + => x² + 1 x² => > (x² + √2/2)² = 2² => 1 X2 = 4-2=2 1 xt 2² => x+ + = 4-2=2. 1 x+ 1 x62 +2=4 +2 = 4 I
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