Question

the sum of square of two times of a natural no and half of it is 1032. find the number​

Answer 1

Answer:

let the no. be A

A. T. Q. ((2A) ^2) +(A/2) = 1032

$(4 {a}^{2} ) + \frac{a}{2} = 1032$

$\frac{8 {a}^{2} + a }{2} = 1032$

$8 {a}^{2} + a = 2064$

$8 {a}^{2} + a - 2064 = 0$

$8 {a}^{2} + 129a - 128a - 2064 = 0$

$(8a + 129)(a - 16) = 0$

$a = 16 { \: as \: a \: natural \: no. \: can \: never \: be \: negative \: }$

$a = 16$

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