Question 1122375
Discriminant equal 0.


{{{(-(5+k))^2-4*3*(-17)=0}}}
Simplify this and solve for k.


{{{(-1)^2(5+k)^2+12*17=0}}}

{{{k^2+10k+25-12*17=0}}}

{{{k^2+10k-179=0}}}, and 179 is a prime number;


{{{k=(-10+- sqrt(100+4*(179)))/2}}}, general solution for quadratic equation

{{{k=(-10+- sqrt(816))/2}}}

{{{k=(-10+- sqrt(16*51))/2}}}

{{{k=(-10+- 4*sqrt(51))/2}}}

{{{highlight(k=-5+- 2*sqrt(51))}}}