Final Answer
$x<7$
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Step-by-step Solution
Problem to solve:
$x^2<5x+14$
Specify the solving method
1
Grouping terms
$x^2-5x<14$
Learn how to solve inequalities problems step by step online.
$x^2-5x<14$
Learn how to solve inequalities problems step by step online. Solve the inequality x^2<5x+14. Grouping terms. Factor the polynomial x^2-5x. Add and subtract \left(\frac{b}{2}\right)^2, replacing b by it's value -5. Now, we can factor x^2+-5x+\frac{25}{4} as a squared binomial of the form \left(x+\frac{b}{2}\right)^2. Moving the term -\frac{25}{4} to the other side of the inequation with opposite sign.
Final Answer
$x<7$