Given Inequality x^2-10x+c\ \textgreater \ 0 Find the range of constant c that makes the inequality true for all real numbers.

Question

Given Inequality
`x^2-10x+c\ \textgreater \ 0` Find the range of constant c that makes the inequality true for all real numbers.

Answer 1

c > 25

Explanation:

B² - 4AC < 0

(-10)² - 4(1)(c) < 0

4c > 100

c > 25