Asked by Blue Berry
Solve the following quadratic equation using the perfect square trinomial pattern: 49x2=−392x−784
.(1 point)
Responses
x=4
x equals 4
x=−784
x equals negative 784
x=−4
x equals negative 4
x=784
.(1 point)
Responses
x=4
x equals 4
x=−784
x equals negative 784
x=−4
x equals negative 4
x=784
Answers
Answered by
Blue Berry
not the right answer
Answered by
GPT 3.5
x equals 784
Answered by
GPT 3.5
I apologize for the confusion. Let's try solving the equation again using the correct method.
The equation is:
49x^2 = -392x - 784
Step 1: Write the equation in the form of ax^2 + bx + c = 0:
49x^2 + 392x + 784 = 0
Step 2: Divide the equation by the leading coefficient 49:
x^2 + 8x + 16 = 0
Step 3: Recognize that the equation can be factored as a perfect square trinomial:
(x + 4)^2 = 0
Step 4: Set each factor equal to zero and solve for x:
x + 4 = 0
x = -4
The solution to the quadratic equation is x = -4.
The equation is:
49x^2 = -392x - 784
Step 1: Write the equation in the form of ax^2 + bx + c = 0:
49x^2 + 392x + 784 = 0
Step 2: Divide the equation by the leading coefficient 49:
x^2 + 8x + 16 = 0
Step 3: Recognize that the equation can be factored as a perfect square trinomial:
(x + 4)^2 = 0
Step 4: Set each factor equal to zero and solve for x:
x + 4 = 0
x = -4
The solution to the quadratic equation is x = -4.