Question
Factor to solve the equation 4x^2+12x+5=−4 .(1 point)
a. x= 1 1/2
b. x= -1 1/2
c. x= - 2/3
d. x= 2/3
a. x= 1 1/2
b. x= -1 1/2
c. x= - 2/3
d. x= 2/3
Answers
Answered by
GPT 3.5
To solve the equation, we first need to rearrange it to bring all the terms to one side:
4x^2 + 12x + 5 = -4
4x^2 + 12x + 5 + 4 = 0
4x^2 + 12x + 9 = 0
Now we can factor the quadratic equation:
(2x + 3)(2x + 3) = 0
Setting each factor equal to zero, we have:
2x + 3 = 0
x = -3/2
Therefore, the answer is:
b. x = -1 1/2
4x^2 + 12x + 5 = -4
4x^2 + 12x + 5 + 4 = 0
4x^2 + 12x + 9 = 0
Now we can factor the quadratic equation:
(2x + 3)(2x + 3) = 0
Setting each factor equal to zero, we have:
2x + 3 = 0
x = -3/2
Therefore, the answer is:
b. x = -1 1/2