quadratic equation for math homework

Question

c²⁺ 9c+14=0

Answer 1

c^2+9c+14=0. Use the quadratic equation which is c = [ -b ± sqrt(b^2 - 4ac) ] / 2a.

 

A=1. B=9. C=14. Plug everything into the equation.

 

c = [ -9 ± sqrt(9^2 - 4(1)(14)) ] / 2(1).

 

c = [ -9 ± sqrt(81 - 56) ] / 2

 

c = [ -9 ± sqrt(25) ] / 2

 

c = [ -9 ± 5 ] / 2

 

c= -9+5 which equals -4, divide -4 by 2 which is -2.

c=-2

 

c= -9-5 which equals -14, divide it by 2 which is -7

c=-7

 

So the two answers from using the quadratic equation are c= -2 and -7.

 

Hope this helps. If you have any questions feel free to ask.

 

Answer 2

c^2+9c+14=0

factor

2*7=14 and 2+7=9, the coefficient of the middle term

(c+7)(c+2)=0

c+7=0

c=-7

c+2=0

c=-2