Question 560369
please solve this equation 64k^2+112k+49=0, thank you
Plug into the quadratic formula {{{x=(-b +- sqrt( b^2-4*a*c))/(2*a)}}}
{{{k=-112 +- sqrt( 112^2-4*64*49)/(2*64)}}}
{{{k=-112 +- sqrt( 12544-12544)/(128)}}}
{{{k=-112 +- sqrt(0)/(128)}}}
Simplify -112/128 by dividing the numerator -112 and denominator 128 by 16
{{{k=(-7 +- sqrt(0)/(8}}}
Since the discriminant is zero. The equation will have 2 equal roots. Where only one root shows.
{{{k=(-7 +- sqrt(0)/(8}}}
k=-.875 Math Fract =-7/8
k=-7/8 k=-7/8