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Question
For quadratic equation `2x + 5/x = 5` :
Options
x ≠ 0
x = 1
x = 5
x = 2
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Solution
x ≠ 0
Explanation:
Given quadratic equation be
`2x + 5/x = 5` ...(1)
For x = 1;
L.H.S = `2 xx 1 + 5/1`
= 2 + 5
= 7 ≠ 5 = R.H.S
For x = 5;
L.H.S = `2 xx 5 + 5/5`
= 10 + 1
= 11 ≠ 5 = R.H.S
For x = 2;
L.H.S = `2 xx 2 + 5/2`
= `4 + 5/2`
= `(8 + 5)/2`
= `13/2`≠ R.H.S
∴ x ≠ 0 ...[For x = 0, given equation is not defined]
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