Question 335769
Solve:
{{{25x^2+16 = 0}}} Subtract 16 from both sides.
{{{25x^2 = -16}}} Take the square root of both sides.
{{{5x = sqrt(-16)}}} But {{{sqrt(-16) = sqrt(16*(-1))}}}={{{4*sqrt(-1)}}}
{{{5x = 4*sqrt(-1)}}} Substitute {{{sqrt(-1) = i}}}
{{{5x = 4*i}}} Divide both sides by 5.
{{{highlight(x = (4/5)i)}}}