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Exercise

x2+11x+28<0x^2+11x+28<0

Step-by-step Solution

Learn how to solve problems step by step online. Solve the inequality x^2+11x+28<0. Moving the term 28 to the other side of the inequation with opposite sign. Subtract the values 0 and -28. Factor the polynomial x^2+11x. Add and subtract \left(\frac{b}{2}\right)^2, replacing b by it's value 11. Now, we can factor x^2+11x+\frac{121}{4} as a squared binomial of the form \left(x+\frac{b}{2}\right)^2.
Solve the inequality x^2+11x+28<0

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Final answer to the exercise

x<−4x<-4

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(x2−xx+10)\left(\frac{x^2-x}{x+10}\right)
x2+11x+28<0
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