The square of a certain negative number is equal to 5 more than one half of the number. What is the number?

the square of a certain negative number is equal to 5 more than one half of that number what is that number let x be that number thus x² = x/2 + 5 x² - x/2 - 5 = 0 2x² - x -10 = 0 (2x-5) (x + 2) = 0 x = 5/2 or - 2 so the number is - 2

Answered by Poknoy | 2024-06-10

The negative number that satisfies the condition is -2.5, or − 2 5 ​ . This is found by setting up a quadratic equation and solving for the variable. Verification shows that the solution fulfills the initial requirement.
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Answered by Poknoy | 2024-12-24