5. If |(x , x) (1 , x)| =|((3 , 4)(1 , 2)| , write the positive value

1.	5. If \|(x , x) (1 , x)\| =\|((3 , 4)(1 , 2)\| , write the positive value of x.
Answer» We have ∵ \|(x , x)(1,x)\| = \|(3,4),(1,2)\| => x² - x = 6 - 4 => x² - x -2 = 0 => x2 - 2x + x -2 = 0 => x(x -2) +1(x - 2) = 0 => (x - 2) (x +1) = 0 => x = 2 or x = -1 (Not accepted) => x = 2

5. If |(x , x) (1 , x)| =|((3 , 4)(1 , 2)| , write the positive value of x.

Answer»

We have

∵ |(x , x)(1,x)| = |(3,4),(1,2)|

=> x² - x = 6 - 4

=> x² - x -2 = 0

=> x2 - 2x + x -2 = 0

=> x(x -2) +1(x - 2) = 0
=> (x - 2) (x +1) = 0
=> x = 2 or x = -1 (Not accepted)
=> x = 2

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5. If |(x , x) (1 , x)| =|((3 , 4)(1 , 2)| , write the positive value of x.

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