Question 474519
post one problem at a time

Solve. (x – 3)^2 = 2 
{{{x-3=sqrt(2)}}}
{{{x=3+sqrt(2)}}}

Solve. 2x^2 – 8x – 14 = 0 
{{{x = (-b +- sqrt( b^2-4*a*c ))/(2*a) }}} 
{{{x = (8 +- sqrt( 64+112 ))/(2*2) }}} 
{{{x = (8 +- sqrt( 176 ))/4 }}}
{{{x = (8 +- sqrt( 16*11 ))/4 }}}
{{{x = (8 +- 4sqrt( 11 ))/4 }}}
{{{x = (4(2 +- sqrt( 11 )))/4 }}}
{{{x = 2 +- sqrt( 11 ) }}}


Solve. 3x^2 = –21x – 15 
{{{3x^2+21x+15=0}}}
{{{x = (-b +- sqrt( b^2-4*a*c ))/(2*a) }}}
{{{x = (-21 +- sqrt( 441-180 ))/(2*3) }}}
{{{x = (-21 +- sqrt( 261 ))/6 }}}
{{{x = (-21 +- sqrt( 9*29 ))/6 }}}
{{{x = (-21 +- 3sqrt( 29 ))/6 }}}
{{{x = (3(-7 +- sqrt( 29 )))/6 }}}

{{{x = (-7 +- sqrt( 29 ))/2 }}}