Question
Asked Oct 17, 2019
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Solve inequalities:

X4-21x2-100 greater than 0

2x÷ x2-6x+5 less than or equal to 0

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Step 1

Refer to the question we need to solve (1) X4-21x2-100 greater than 0 and (2) 2x÷ x2-6x+5 less than or equal to 0

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(1)....21x2-100> 0 (2)..2xx-6r+50

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Step 2

Now solve the X4-21x2-100 greater than 0 as,

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(1)...21r2-100 > 0 Let u =x Then u-21u-100 >0 u2-254u 100 > 0 u(и - 25)+4 (и- 25)>0 (и+4) (и- 25) >0 (x +4)(x° =25)>0 (r +4)(x+5)(x-5)>0

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Step 3

Now here 5 and -5 are the critical points now check the signs of t...

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(x +4)(x+5)(x-5) > x <-5x5-5 <x <5 x = 5x>5 (x2+4 +ve +ve +ve +e +ve (x+5 0 -1e +ve +ve ve (x-5) 0 -1e -1e +ve 1e (x2 +4)(x+5)(x=5) 0 +ve ve ve

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Math

Algebra

Equations and In-equations

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