Answer: b = 5
Explanation:
The standard form of a quadradic equation is 0 = ax² + bx + c. To do this, we will move all values to one side of the equation.
Given:
8x + 4 = -2x² + 3x + 1
Subtract (8x + 4) from both sides of the equation:
0 = -2x² - 5x - 3
Lastly, we are given that a = 2, so we will divide both sides of the equation by -1.
0 = -2x² - 5x - 3
0 = 2x² + 5x + 3
We are asked to find the value of b.
0 = ax² + bx + c
0 = 2x² + 5x + 3 ➜ b = 5