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- Weierstrass Substitution
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Apply the formula: $x^2+bx$$=x^2+bx+\left(\frac{b}{2}\right)^2-\left(\frac{b}{2}\right)^2$, where $b=11$, $bx=11x$ and $x^2+bx=x^2+11x$
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$x^2+11x+\frac{121}{4}- \frac{121}{4}<-18$
Learn how to solve inégalités problems step by step online. Solve the inequality x^2+11x<-18. Apply the formula: x^2+bx=x^2+bx+\left(\frac{b}{2}\right)^2-\left(\frac{b}{2}\right)^2, where b=11, bx=11x and x^2+bx=x^2+11x. Apply the formula: x^2+bx+f+g=\left(x+\sqrt{f}sign\left(b\right)\right)^2+g, where b=11, bx=11x, f=\frac{121}{4}, g=- \frac{121}{4} and x^2+bx=x^2+11x+\frac{121}{4}- \frac{121}{4}. Apply the formula: \frac{a}{b}c=\frac{ca}{b}, where a=121, b=4, c=-1, a/b=\frac{121}{4} and ca/b=- \frac{121}{4}. Apply the formula: x+a<b=x<b-a, where a=-\frac{121}{4}, b=-18 and x=\left(x+\frac{11}{2}\right)^2.