Question 97770
lease Help ME! how do you solve this as a quadratic equation??
{{{ (1/12)x^2+3=x }}}
:
First get rid of the fraction, multiply the equation by 12, resulting in:
x^2 + 36 = 12x
:
Arrange as quadratic equation:
x^2 - 12x + 36 = 0
:
This is a perfect square and is easily factored:
(x-6)(x-6) = 0
x = +6
:
Check in original equation
{{{ (1/12)6^2 + 3 = 6 }}}
:
{{{ (1/12)36 + 3 = 6 }}}
:
{{{ 3 + 3 = 6}}}