Answer:
see below
Step-by-step explanation:
ax^2+bx=c
Let a =1
1x^2+bx=c
We take the b coefficient, divide it by 2 and then square it
(b/2) ^2
Add this to each side
1x^2+bx + (b/2) ^2=c+ (b/2) ^2
Then simplify the left side
The term inside the square term is b/2
(x + b/2) ^2 = c+ (b/2) ^2
Take the square root of each side
sqrt((x + b/2) ^2) =± sqrt(c+ (b/2) ^2)
(x + b/2) =± sqrt(c+ (b/2) ^2)
Subtract b/2 from each side
x + b/2-b/2 = -b/2 ± sqrt(c+ (b/2) ^2)
x = -b/2 ± sqrt(c+ (b/2) ^2)
