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

the negative solution

its actually - 2

Step-by-step explanation:

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

3/text{ times that number}/rightarrow 3x

3 times that number→3x

/text{Difference of the square of a number and } 10/rightarrow x^2-10

Difference of the square of a number and 10→x

2

-10

x^2-10=

x

2

-10=

/,/,3x

3x

-3x=

-3x=

/,/,-3x

-3x

x^2-3x-10=0

x

2

-3x-10=0

Set to Zero

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

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

Factor

x-5=0 / hspace{30px} x+2=0

x-5=0x+2=0

Set factors to zero

x=5 / hspace{40px} x=-2

x=5x=-2

/text{Negative Solution: }-2

Negative Solution: - 2

(i had the same question and copied the explanation off of Delta Math)

X = 5

X = - 2

Step-by-step explanation:

X² - 10 = 3X

X² - 3X - 10 = 0

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

X = 5

X = - 2