Question

Apply the quadratic formula to solve the following systems of equations:

a) y = x² + 1
y = x + 1

b) y = 5x - 20
y = x² - 5x + 5

c) y = -0.5x² - 2x + 1
y + 3 = -x

Answer 1

To solve systems of equations using the quadratic formula, set the equations to zero and apply the quadratic formula.

Step-by-step explanation:

To solve systems of equations using the quadratic formula, we first need to set both equations equal to zero. For example, in equation (a), we have:
x² + x - y + 1 = 0
Next, we can apply the quadratic formula:
x = (-b ± √(b² - 4ac)) / (2a)
In this case, a = 1, b = 1, and c = -y + 1. By substituting these values into the formula, we can solve for x. Repeat the same process for equation (b) and (c).