Question 341846
Use the discriminant.
{{{a=2}}}
{{{b=-7}}}
{{{c=0}}}
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.
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{{{D=b^2-4ac}}}
{{{D=(-7)^2-4(2)(0)}}}
{{{D=49}}}
Since {{{D>0}}}, there are 2 real solutions.
Since {{{D}}} is a perfect square, the two solutions are rational.