Question 56544
15x - 4/x = 4 [Multiply all terms by the LDC=x]
x(15x-4/2=4)
15x^2-4=4x [Simplify]
15x^2-4x-4 [Use the quadratic formula to solve]
{{{x = (-b +- sqrt( b^2-4*a*c ))/(2*a) }}}
.
{{{x = ((4) +- sqrt( (-4)^2-(4)(15)(-4) ))/(2)(15)) }}}
.
{{{x = (4) +- sqrt(( (16)-(-240) ))/(30))) }}}
.
{{{x = (4) +- sqrt( ((256) ))/(30))) }}}
.
{{{x = (4) + (16) /(30)) }}} =.666
.
{{{x = (4) - (16) /(30)) }}} = -0.4
.
Check by plugging each value of x back into the original equation.