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Chapter 11: Q. 55 (page 741)

In Problems 51鈥�56, solve for x,

x231x061-2=7

Short Answer

Expert verified

The value of xis 0or9.

Step by step solution

01

Step 1. Given Information  

We are given,

x231x061-2=7

We have to find the value of x.

02

Step 2. Solving the determinant  

Solving the determinant, we get

x231x061-2=7xx01-2-2106-2+31x61=7x[(x)(-2)-(0)(1)]-2[(1)(-2)-(0)(6)]+3[(1)(1)-(x)(6)]=7x(-2x)-2(-2)+3(1-6x)=7-2x2-18x+7=7-2x2-18x=02x(x-9)=02x=0x=0

or

x-9=0x=9

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