Shayna enlarged a square photo by adding 10 inches to each side so it could be seen on a large poster. the area of the enlarged photo is 256 square inches. in the equation (x + 10)2 = 256, x represents the side measure of the original square photo. what were the dimensions of the original photo? 4 inches by 4 inches 6 inches by 6 inches 10 inches by 10 inches 12 inches by 12 inches

- The dimensions of the original square photo=6 inches by 6 inches.

Explanation:-

Let x be the side of the original square photo such that the side of enlarged photo by 10 inches is x+10

The area of the enlarged square photo =

taking square root on both the sides , we get

Subtract 10 on both the sides, we get

⇒ side of the original square photo = x= 6 inches.

Therefore, the dimensions of the original square photo=side by side=6 inches by 6 inches.

answer:   x = 3 + √11     and     x = 3 - √11

step-by-step explanation:

x² - 6x + 9 = 11

(x - 3)² = 11

x - 3 = ±√11

    x = 3 ± √11

x = 3 + √11     and     x = 3 - √11