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{{ printedBook.courseTrack.name }} {{ printedBook.name }} Let's review how can we find the solutions to an equation of the form $x_{2}=d$ by using square roots. For this, we can take the square root of each side of the equation to isolate $x.$ Notice that there are three possible cases according to the value of $d.$

**Case**$d>0.$ In this case, since $d =-d ,$ the equation $x_{2}=d$ has**two**real solutions, $x=±d .$**Case**$d=0.$ In this case, since $0 =-0 ,$ the equation $x_{2}=d$ has**one**real solution, $x=0.$**Case**$d<0.$ In this case, since $d $ is**not**a real number, the equation $x_{2}=d$ has**no**real solutions.

Thus, by studying the value of $d$ the number of solutions can be found.