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If y3 + x2 = 90, then greatest possible value of y lies between? 1 an
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22 Mar 2023, 11:22
22 Mar 2023, 11:22
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If \(y^3 + x^2= 90\), then greatest possible value of y lies between?
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Re: If y3 + x2 = 90, then greatest possible value of y lies between? 1 an
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17 Oct 2024, 07:46
17 Oct 2024, 07:46
1
Given that \(y^3 + x^2= 90\) and we need to find the greatest possible value of y lies between?
\(y^3 + x^2= 90\)
=> \(y^3 = 90 - x^2\)
Now we know that square of a number is non-negative
=> Minimum value of \(x^2\) = 0 when x=0
=> \(y^3 = 90\)
We know that \(4^3\) = 64 and \(5^3\) = 125
=> y lies between 4 and 5
So, Answer will be B
Hope it helps!
\(y^3 + x^2= 90\)
=> \(y^3 = 90 - x^2\)
Now we know that square of a number is non-negative
=> Minimum value of \(x^2\) = 0 when x=0
=> \(y^3 = 90\)
We know that \(4^3\) = 64 and \(5^3\) = 125
=> y lies between 4 and 5
So, Answer will be B
Hope it helps!
General Discussion
Re: If y3 + x2 = 90, then greatest possible value of y lies between? 1 an
[#permalink]
22 Mar 2023, 20:45
22 Mar 2023, 20:45
2
x^2 is positive so least value of x^2 = 0
y^3 = 90
3^3 < 90 < 5^3
Y lies between 3 and 5
y^3 = 90
3^3 < 90 < 5^3
Y lies between 3 and 5
