Part A: The problem is asking to find the solutions to the quadratic equation x^2 + 17x = -72. This means we need to determine the values of x that satisfy the equation.
Plan: To solve this equation, we will set the equation equal to zero by moving all the terms to one side and then factor or use the quadratic formula to find the values of x.
Part B: To solve the equation x^2 + 17x = -72, we first move all the terms to one side:
x^2 + 17x + 72 = 0
Now, we can try factoring the quadratic equation. Since the quadratic term is x^2, we need to find two numbers that multiply to give 72 and add to give 17. From the available options, we have 8 and 9:
(x + 8)(x + 9) = 0
Now, using the zero product property, we set each factor equal to zero:
x + 8 = 0 or x + 9 = 0
Solving each equation separately gives us the following solutions:
x = -8 or x = -9
Therefore, the solutions to the equation x^2 + 17x = -72 are x = -8 and x = -9.
x squared plus seventeen x equals negative seventy-two.
Part A: What is being asked in the problem and what does that mean? What plan am I going to try?
Part B: Then, solve.
1 answer
1 answer