Mathematics: The steps to derive the quadratic formula are shown below: Step 1 ax2 + bx + c = 0 Step 2 ax2 + bx = − c Step 3 x2 + b over a times x equals negative c over a Step 4 Blank space, fill in the answer Provide the next step to derive the quadratic formula. Answer Choices: (see image)

The steps to derive the quadratic formula are shown

emmahall0826

28.01.2022

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

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

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

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5001Je

24.01.2021

Yes

Step-by-step explanation:

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