Question

3x²-7x+5 factories plz​

Answer 1

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To solve this equation, let us apply Quadratic formula

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Compare this equation with  $ax^2+bx+c$

$In ,3 {x}^{2} -7x + 5= 0 \\\\ where,\\\\ a = 3\\ \\ b = -7 \\ \\ c = 5 \\ \\ =>x_{1,2} = \frac{ - b \pm \sqrt{ {b}^{2} - 4ac} }{2a} \\ \\=> x_{1,2} = \frac{ 7 \pm\sqrt{ {(-7)}^{2} - 4(3)(5)} }{2 \times 3} \\ \\=> x_{1,2} = \frac{ 7 \pm \sqrt{ 49 - 60} }{6} \\ \\=> x_{1,2} = \frac{ 7\pm\sqrt{ -11} }{6} \\ \\ => x_{1,2} = \frac{ 7 \pm i\sqrt{11}}{6} \\ \\=>x_{1} = \frac{ 7 + i\sqrt{11}}{6} \\ \\=> x_{2} = \frac{ 7 - i\sqrt{11}}{6}$

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