Question 1091516
{{{ z^2 - 100 = 0 }}}
{{{ z^2 = 100 }}}
{{{ z = sqrt( 100 ) }}} and
{{{ z = -sqrt( 100 ) }}}
{{{ z = 10 }}}
{{{ z = -10 }}}
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I notice that:
{{{ 2*25 = 50 }}} and
{{{ 2 + 25 = 27 }}}
Using this:
{{{ y^2 + 27y + 50 = ( y + 25 )*( y + 2 ) }}}
{{{ ( y + 25 )*( y + 2 ) = 0 }}}
{{{ y = -25 }}} and
{{{ y = -2 }}}
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check:
{{{ y^2 + 27y + 50 = (-25)^2 + 27*(-25) + 50 }}}
{{{ 625 - 675 + 50 = 0 }}}
OK
You can check the other solution