Question

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Answer 1

$\displaystyle\bf\\\frac{1}{2} x^{2} -x-7=0\\\\\\D=(-1)^{2} -4\cdot \frac{1}{2} \cdot(-7)=1+14=15\\\\\\x_{1} =\frac{1-\sqrt{15} }{\frac{1}{2}\cdot 2 } =1-\sqrt{15} \\\\\\x_{2} =\frac{1+\sqrt{15} }{\frac{1}{2}\cdot 2 } =1+\sqrt{15}$