Question 642180
In the case of {{{4x^2+7x+2}}}, which is in the form {{{ax^2+bx+c=0}}}, we can see that a = 4, b = 7, c = 2


Plug this into the formula below


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


{{{x = (-(7)+-sqrt((7)^2-4(4)(2)))/(2(4))}}}


{{{x = (-7+-sqrt(49-(32)))/(8)}}}


{{{x = (-7+-sqrt(17))/8}}}


{{{x = (-7+sqrt(17))/8}}} or {{{x = (-7-sqrt(17))/8}}}


{{{x = -0.359611796797792}}} or {{{x = -1.39038820320221}}}


So the exact solutions are {{{x = (-7+sqrt(17))/8}}} or {{{x = (-7-sqrt(17))/8}}}


and the approximate solutions are {{{x = -0.359611796797792}}} or {{{x = -1.39038820320221}}}