Question

resolva a forma da equacao

d) 2x²-3x -7x +3=0
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Answer 1

$2x ^ { 2 } -3x-7x+3=0 \\ 2x^{2}-10x+3=0 \\ x=\frac{-\left(-10\right)±\sqrt{\left(-10\right)^{2}-4\times 2\times 3}}{2\times 2} \\ x=\frac{-\left(-10\right)±\sqrt{100-8\times 3}}{2\times 2} \\ x=\frac{-\left(-10\right)±\sqrt{100-24}}{2\times 2} \\ x=\frac{-\left(-10\right)±\sqrt{76}}{2\times 2} x=\frac{-\left(-10\right)±2\sqrt{19}}{2\times 2} \\ x=\frac{10±2\sqrt{19}}{2\times 2} x=\frac{10±2\sqrt{19}}{4} \\ x=\frac{2\sqrt{19}+10}{4} \\ x=\frac{\sqrt{19}+5}{2} \\ x=\frac {10-2\sqrt{19}}{4} \\ x=\frac{5-\sqrt{19}}{2} \\ x=\frac{\sqrt{19}+5}{2} x=\frac{5-\sqrt{19}}{2}$