Question

solve5x+7/2=3/2x_14​

Answer 1

Answer:

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Answer 2

$\frac{5x + 7}{2} = \frac{3}{2x - 14} \\ (5x + 7)(2x - 14) = 6 \\ 10 {x}^{2} - 70x + 14x - 98 = 6 \\ 10 {x}^{2} - 56x - 104 = 0 \\ 5 {x}^{2} - 28x - 54 = 0$

Using formula

$x = \frac{ - b± \sqrt{ {b}^{2} - 4ac} }{2a} \\ = \frac{ - ( - 28)± \sqrt{ {( - 28)}^{2} - 4 \times 5 \times ( - 54)} }{2 \times 5} \\ = \frac{28± \sqrt{784 + 1080} }{10} \\ = \frac{28± \sqrt{1864} }{10} \\ = \frac{28±2 \sqrt{466} }{10} \\ = \frac{14±\sqrt{466} }{5}$