Trina has two brothers. one brother is 7 years older than trina and the other brother is 7 years younger than trina. the product of her brothers age is 95.

a. if x represents trinas age, write an equation to describe the product of her brothers ages.

b. solve the equation for x how old is trina.

(a) 95 = (x+7) * (x-7)

(b) 95 = (x+7) * (x-7)

Expand the brackets:

95 = x² - 7x + 7x - 49 = x² - 49

Subtract x² from both sides:

95-x² = - 49

Subtract 95 from both sides:

-x²=-49-95

-x² = - 144

Divide both sides by - 1 to get rid of the negative numbers:

-x²/-1=-144/-1

x²=144

Take the square root of 144:

x = ± squareroot of 144

x = 12 or - 12

x = 12 because you cannot have a negative age so Trina is 12 years old.