Question

please solve it in your copy
I need step by step explanation ​

Answer 1

Answer:

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Answer 2

Answer:

either

$x = \frac{ \sqrt{3136\pi - 1078} }{2 \sqrt{\pi} } + 28$

or

$x = - \frac{ \sqrt{3136\pi - 1078} }{2 \sqrt{\pi} } + 28$

Step-by-step explanation:

$784\pi - \pi(784 - 56x + x^{2}) = 269.5$

$784\pi - (784\pi - 56x\pi + x^{2}\pi) = 269.5$

$784\pi - 784\pi + 56\pi x - \pi x^{2} = 269.5$

$56\pi - \pi x^{2} = 269.5$

$\pi x^{2} - 56\pi x + 269.5 = 0$

by quadratic formula

$x = \frac{ \sqrt{3136\pi - 1078} }{2 \sqrt{\pi} } + 28$

or

$x = - \frac{ \sqrt{3136\pi - 1078} }{2 \sqrt{\pi} } + 28$