The solution of which of the following equations is same as that of $40 - 6 x = x^{2}$ ?

y = (x - 6)^{2} - 40

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y = (x - 6)^{2} + 40

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y = (x + 3)^{2} - 49

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y = (x + 3)^{2} + 49

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Solution

The correct option is C $y = (x + 3)^{2} - 49$
Given, $40 - 6 x = x^{2}$
$\Rightarrow x^{2} + 6 x - 40 = 0$
$\Rightarrow (x + 3)^{2} - 9 - 40 = 0$
$\Rightarrow (x + 3)^{2} - 49 = 0$
Hence, the correct option is C.

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