Question 683841
What will make this equation true?
{{{ ( x - 1 )*( x - 2 ) = 0 }}}
If I say {{{ x = 1 }}}, then
{{{ ( 1 - 1 )*( 1 - 2 ) = 0 }}}
{{{ 0*(-1) = 0 }}}
So, {{{ x = 1 }}} makes it true
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If I say {{{ x = 2 }}}, then
{{{ (2 - 1 )*( 2 - 2 ) = 0 }}}
{{{ 1*0 = 0 }}}
So, {{{ x = 2 }}} also makes it true
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Theses are called the "roots" of the equation
If I now multiply it out:
{{{ x^2 - 3x + 2 = 0 }}} and plot it, you will see
the roots as the crossings of the x-axis
{{{ graph( 400, 400, -5, 5, -2, 6, x^2 - 3x + 2 ) }}}