Clara writes the equation (x – 13)(x + 8) = 196 to solve for the missing side length of a triangle represented by the factor x +

Question

MissTica

3 years ago

5

Clara writes the equation (x – 13)(x + 8) = 196 to solve for the missing side length of a triangle represented by the factor x +

8. What is the missing side length represented by x + 8 units of the triangle? A. 7 B. 15 C. 20 D. 28

Mathematics

1 answer:

Kitty [74] · Answer 1 · 2021-12-13T11:38:35+03:00

Kitty [74]3 years ago

3 0

<span>(x – 13)(x + 8) = 196
</span>x * x + x * 8 - 13 * x - 13 * 8 = 196
x² + 8x - 13x - 104 = 196
x² - 5x - 104 - 196 = 0
x² - 5x - 300 = 0

The missing side length is 28