Give exact and approximate solutions. $$ 3 x^{2}-5 x-7=0 $$ The exact solutions are $$ x=\square $$. (Simplify your answer, including any radicals and $$ i $$ as needed. Use integers or fractions for any numbers in the expression. Use answers as needed.) The approximate solutions are $$ x=\square $$. (Use a comma to separate answers as needed. Round to the nearest thousandth as needed.)

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Pritchard Garrett · Accepted Answer

The exact solutions are $$x_{1}=\frac{5-\sqrt{109}}{6}$$ and $$x_{2}=\frac{5+\sqrt{109}}{6}$$. The approximate solutions are $$x \approx -0.907$$ and $$x \approx 2.573$$.

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