3 times a number is 10 less than the square of that number. Find the negative solution.

Answer:-2

Step-by-step explanation: set up an equation

3x+10=x^2

x^2-3x-10=0

what multiplies to get 10 and adds to - 3?

-5 and 2

(x-5) (x+2) = 0

x-5=0 x+2=0

x=5 x=-2

The negative solution is - 2

-2

Step-by-step explanation:

3n = n² - 10

n² - 3n - 10 = 0

n² - 5n + 2n - 10 = 0

n (n - 5) + 2 (n - 5) = 0

(n - 5) (n + 2) = 0

n = 5, - 2