Math, asked by biggyboo2199, 1 year ago

When three times a number is added to the square of the given number , result isv54. What is the number

Answers

Answered by chemistrywala
0
number is 6 x^2 +3x= 54
Answered by rajeev378
6
\huge\boxed{\texttt{\fcolorbox{Red}{aqua}{Hey \: Mate}}}

Here is your answer

Let the number is x

ATQ
3x +  {x}^{2}  = 54 \\  {x}^{2}  + 3x - 54 = 0 \\  {x}^{2}  + 9x - 6x - 54 = 0 \\ x(x + 9) - 6(x + 9) = 0 \\ (x + 9)(x - 6) = 0 \\ x = 6 \:  \: and \:  \:  - 9
As the number is not negative

Therefore the number is 6

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