Discriminant =
b² - 4ac
3² - 4(2)(- 9)
9 + 72
81
Your equation has two real solutions.
2x² + 3x - 9 = 0
2x² + 6x - 3x - 9 = 0
2x(x + 3) - 3(x + 3) = 0
(2x - 3)(x + 3) = 0
Set each equal to zero:
2x - 3 = 0
2x = 3
x = 3/2
x + 3 = 0
x = - 3
Your two solutions are x = - 3, 3/2
The answer is C. 10 because you only need 2 unit cubes to make a rectangular prism
The equation that could be used to determine the unknown side length, M of the logo is A = 7M
<h3>How to determine the equation?</h3>
From the question, we have the following parameters:
- Logo: Rectangle
- Length, L = 7 feet
Represent the area of the logo with A, and M represents the unknown side
The area (A) of the rectangle is calculated using:
A = L * W
Substitute 7 for L, and M for W
A = 7M
Hence, the equation that could be used to determine the unknown side length, M of the logo is A = 7M
Read more about areas at:
brainly.com/question/24487155
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