Question

What is the solution to the following equation?

x^2+14x+48=0

a) x=6 or x=8
b) x=-6 or x=-8
c) x=4 or x=12
d) x=-4 or x=-12

Answer 1

b x =-6 or x=-8 is the answer

Answer 2

Answer: b) x=-6 or x=-8

Explanation:

Hi, to solve this we have to apply the Quadratic formula:

(-b ± √b²-4ac)/2a

Using the values of the equation given:

x^2+14x+48=0

where:

a= 1

b= 14

c= 48

(-14 ± √14²-4 (1)(48))/2(1)

(-14 ± √196-192)/2

(-14 + 2 )/2 =-6

(-14 - 2 )/2 =-8

So, the correct option is b) x=-6 or x=-8

Feel free to ask for more if it´s necessary or if you did not understand something.