Respuesta :
Answer:
the solutions to the equation 0 = 2x^2 + 13x - 84 are x = -7 and x = 6.
Step-by-step explanation:
To solve the equation 0 = 2x^2 + 13x - 84, we can use the factoring method or the quadratic formula. Let's use the factoring method in this case. First, we need to set the equation equal to zero by subtracting 84 from both sides: 2x^2 + 13x - 84 = 0 Next, we need to factor the quadratic expression on the left side. We are looking for two numbers that multiply to give the product of the coefficient of x^2 (2) and the constant term (-84) and add up to the coefficient of x (13). In this case, the numbers are 14 and -6: (2x + 14)(x - 6) = 0 Now, we can set each factor equal to zero and solve for x: 2x + 14 = 0 or x - 6 = 0 Solving the first equation: 2x = -14 x = -7 Solving the second equation: x = 6 .
