SOLUTION: Hello. I am having trouble solving the following polynomial inequality. {{{ x^2+5x<=3 }}} This is as far as I can go, because I can not factor it. {{{ x^2+5x-3=0 }}} T

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Hello. I am having trouble solving the following polynomial inequality. {{{ x^2+5x<=3 }}} This is as far as I can go, because I can not factor it. {{{ x^2+5x-3=0 }}} T      Log On


   

Question 234923: Hello.

I am having trouble solving the following polynomial inequality.
+x%5E2%2B5x%3C=3+
This is as far as I can go, because I can not factor it.
+x%5E2%2B5x-3=0+
Thank you in advance.



Answer by chibisan(131) About Me  (Show Source):
You can put this solution on YOUR website!
when doing it by square method ;
+x%5E2%2B5x%3C=3+
+x%5E2%2B5x%2B%285%2F2%29%5E2%3C=3%2B%285%2F2%29%5E2
+%28x%2B5%2F2%29%5E2%3C=+37%2F4+
+x%3C=+sqrt%2837%2F4%29-%285%2F2%29
+x%3C=+0.541+
or
x%3C=-sqrt%2837%2F4%29-5%2F2
+x%3C=+-5.54+


Yup, you were almost there
;factoring a inequality is not compulsory.
and do not put an equal sign unnecessarily unless the question says so.