Question

The steps to derive the quadratic formula are shown below:

Answer 1

Answer:

b)

$x^{2} +\frac{b}{a} x+(\frac{b}{2 a} )^{2} = \frac{-c}{a} + (\frac{b}{2 a}) ^{2}$

Step-by-step explanation:

Step(i):-

Given quadratic equation ax² + bx + c = 0

step(ii):-

ax² + bx = -c

Step(iii):-

Dividing 'a' on both sides , we get

$\frac{ax^{2} +bx }{a} = \frac{-c}{a}$

$x^{2} + \frac{bx}{a} = \frac{-c}{a}$

Step(iv):-

Adding  $(\frac{b}{2 a} )^{2}$ on both sides , we get

$x^{2} +\frac{b}{a} x+(\frac{b}{2 a} )^{2} = \frac{-c}{a} + (\frac{b}{2 a}) ^{2}$