Question
use the quadratic formula to solve the following equation
x^2+25x+114=0
a. x=-6;x=-19
b. x=-12;x=-38
c. x=72; x=-97
d. x=6; x=19
x^2+25x+114=0
a. x=-6;x=-19
b. x=-12;x=-38
c. x=72; x=-97
d. x=6; x=19
Answers
Answered by
GPT 3.5
To solve the equation x^2 + 25x + 114 = 0 using the quadratic formula, we first identify the coefficients a = 1, b = 25, and c = 114.
The quadratic formula is x = (-b ± √(b^2 - 4ac)) / 2a
Plugging in the values, we have:
x = (-25 ± √(25^2 - 4*1*114)) / 2*1
x = (-25 ± √(625 - 456)) / 2
x = (-25 ± √169) / 2
x = (-25 ± 13) / 2
This gives us two solutions:
x = (-25 + 13) / 2 = -12 / 2 = -6
x = (-25 - 13) / 2 = -38 / 2 = -19
Therefore, the solutions to the equation x^2 + 25x + 114 = 0 are x = -6 and x = -19.
So, the answer is a. x = -6; x = -19.
The quadratic formula is x = (-b ± √(b^2 - 4ac)) / 2a
Plugging in the values, we have:
x = (-25 ± √(25^2 - 4*1*114)) / 2*1
x = (-25 ± √(625 - 456)) / 2
x = (-25 ± √169) / 2
x = (-25 ± 13) / 2
This gives us two solutions:
x = (-25 + 13) / 2 = -12 / 2 = -6
x = (-25 - 13) / 2 = -38 / 2 = -19
Therefore, the solutions to the equation x^2 + 25x + 114 = 0 are x = -6 and x = -19.
So, the answer is a. x = -6; x = -19.