Final answer to the problem
$x>5$
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Step-by-step Solution
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1
Grouping terms
$x^2-7x>-10$
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$x^2-7x>-10$
Learn how to solve problems step by step online. Solve the inequality x^2>7x-10. Grouping terms. Factor the polynomial x^2-7x. Add and subtract \left(\frac{b}{2}\right)^2, replacing b by it's value -7. Now, we can factor x^2+-7x+\frac{49}{4} as a squared binomial of the form \left(x+\frac{b}{2}\right)^2. Calculate the square root of \frac{49}{4}.
Final answer to the problem
$x>5$