Will anyone me with this! yo math nerds i need u! by forming the full square in the formula ax2 + bx + c = 0, verify the formula of the solution of the second power equation. x = -b +/- the growth of b2 -4ac / 2a

See below.

Step-by-step explanation:

ax^2 + bx + c = 0

a(x^2 + b/a x) + c = 0

Completing the square:

a [ (x + b/2a)^2  - b^2/4a^2] + c = 0

a[ (x + b/2a )]^2 - b^2 / 4a + c = 0

a[ (x + b/2a )]^2 = b^2 / 4a - c

Dividing both sides by a:

(x + b/2a  )^2  =  b^2/4a^2 - c/a

Taking square roots of both sides:

x + b/2a    =   +/- √ (b^2/ 4a^2  - c/a)

x + b/2a  =  +/-  √ [ ( b^2 -  4ac) / 4a^2 )]

x + b/2a  =   +/- √ ( b^2 -  4ac) / 2a

Subtracting  b/2a from both sides and converting the right side to one fraction:

x =  [- b  +/-  √ ( b^2 -  4ac]  / 2a.