Question 279008
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{{{8x^2+9x+2=0}}}

compare with the general quadratic, which you must memorize:

{{{ax^2+bx+c=0}}}

and see that {{{a=8}}}, {{{b=9}}}, and {{{c=2}}}

The quadratic formula, which you must also memorize, is:

{{{x = (-b +- sqrt( b^2-4*a*c ))/(2*a) }}} 

Substituting those values:

{{{x = (-(9) +- sqrt( (9)^2-4*(8)*(2) ))/(2*(8)) }}} 

{{{x = (-9 +- sqrt( 81-64 ))/16 }}}

{{{x = (-9 +- sqrt(17))/16 }}}

Edwin</pre>