what are the solutions to the equation 0 = x² - x - 6? select two options\nx = -3\nx = -2\nx = 0\nx = 2\nx = 3
what are the solutions to the equation 0 = x² - x - 6? select two options\nx = -3\nx = -2\nx = 0\nx = 2\nx = 3
Answer
Explanation:
Step1: Factor the quadratic equation
We have the quadratic equation (x^{2}-x - 6=0). We need to find two numbers that multiply to (-6) and add up to (-1). The numbers are (-3) and (2). So, we can factor the equation as ((x - 3)(x+2)=0).
Step2: Use the zero - product property
If ((x - 3)(x + 2)=0), then either (x-3=0) or (x + 2=0). If (x-3=0), then (x=3). If (x + 2=0), then (x=-2).
Answer:
B. (x=-2), E. (x = 3)