Question 1109774
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The roots of (x-1)(x-2)=p are equal. Find p.

The answer is p=1/4, how do they get that?
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{{{x^2-3x+2-p=0}}}


"Equal Roots"
{{{(3-sqrt(9-4(2-p)))/2=(3+sqrt(9-4(2-p)))/2}}}


{{{3-sqrt(9-8+4p)=3+sqrt(9-8+4p)}}}


{{{-sqrt(1+4p)=sqrt(1+4p)}}}


{{{0=2*sqrt(1+4p)}}}


{{{sqrt(1+4p)=0}}}, both sides were multiplied by {{{1/2}}};


square both sides:
{{{1+4p=0}}}


{{{4p=-1}}}


{{{highlight_green(p=-1/4)}}}
?


(Possible mistake of sign somewhere)