The difference of the square of a number and 10 is equal to 3 times that number. Find the positive solution.

Answer: + 5

Step-by-step explanation:

Let the unknown number be x

The square of the unknown is x2

Therefore;

X2 - 10 = 3times of x

X2-10=3x

Collect like terms, so we have

X2-3x-10=0

Let's factorise

Values of - 10 could be + 2 and - 5 or - 2 and + 5

But for us to get - 3, we will use + 2 &-5

X2+2x-5x-10=0

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

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

X-5=0; X=+5

X+2=0; X=-2

Therefore, positive solution is + 5

Answer: 5