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Chapter 9: Q69. (page 481)

Solve(x鈭�2)2+1=37. Describe the steps you use.

Short Answer

Expert verified

The solution of equation isx=8,鈭�4.

Step by step solution

01

Step 1. Given Information.

The given equation is(x鈭�2)2+1=37.

02

Step 2. Calculation.

The expression can be solved as

(x鈭�2)2+1=37(x鈭�2)2=37鈭�1x2+4鈭�4x=36x2鈭�4x鈭�32=0

On further simplification,

x2鈭�8x+4x鈭�32=0x(x鈭�8)+4(x鈭�8)=0(x鈭�8)(x+4)=0x=8,鈭�4

03

Step 3. Conclusion.

The solution of equation isx=8,鈭�4.

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