Question

Find no. of roots in

$| {x}| {}^{2} - 3 |x| + 2 = 0$
(a) 4 (b) 1 (c) 3 (d) 2 ​

Answer 1

Answer:

(a) 4 ✔

hope it helps you

Answer 2

$\huge\star{\underline{\underline{\red{\tt{Answer \implies 4}}}}}\star$

$\large\star{\underline{\green{\mid{Explanation}}}}$

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First of all we know that

|x|²=x²

so in the eqⁿ given

x²-3|x|+2=0

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★Case-1

x²-3x+2=0

$\implies$ x²-2x-x+2

$\implies$ (x-2)(x-1)

Therefore here we get 2 solutions

x€ 2,1

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★Case-2

x²+3x+2=0

$\implies$x²+2x+x+2

$\implies$ (x+2)(x+1)

Therefore here we get 2 solutions

x€ -2,-1

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Overall Solutions we get are

-2,-1,1,2

i.e 4 solutions

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