Question

x-4/7 -x = 5-x / 3 +1
please solve this fast. ​

Answer 1

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Answer 2

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Q:-x-4/7 -x = 5-x / 3 +1

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$⟹ \frac{x - 4}{7 - x} = \frac{5 - x}{4}$

$⟹4x - 16 = 5(7 - x) - x( 7- x)$

$⟹4x - 16 = 35 - 5x - 7x + {x}^{2}$

$⟹ - {x}^{2} + 4x + 5x + 7x - 35 - 16 = 0$

$⟹ - {x}^{2} + 16x - 51 = 0$

$⟹ - ( {x}^{2} - 16x + 51) = 0$

$⟹ {x}^{2} - 16x + 51 = 0$

Here we use quadratic formula to find out the roots:-

a=1,b=-16,c=51

$⟹ \frac{ - b± \sqrt{ {b}^{2} - 4ac} }{2a}$

$⟹ \frac{16± \sqrt{ {( - 16)}^{2} - 4(1)(51)} }{2}$

$⟹ \frac{16± \sqrt{256 - 204} }{2}$

$⟹ \frac{16± \sqrt{52} }{2}$

$⟹ \frac{16±2 \sqrt{13} }{2} = \frac{2(8± \sqrt{13} )}{2}$

$= 8± \sqrt{13}$✓

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