Question

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

the negative solution

Answer 1

its actually -2

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)

Answer 2

X= 5

X = -2

Explanation:

X² -10 = 3X

X² - 3X - 10 = 0

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

X =5

X = -2