Question

The first six steps of the derivation of the Quadratic Formula are listed below.
b
x
lo
=
a
a
+
1. ax2 + bx +c=0
2. Cx2 + x + =
3. x2 + x+8 = 0
b
4. x2 +
X=
a
b2
5. x2 + x +
4a2
6. (x + )2
4a2
a
+
a
b2
4a2
b2-4ac
2a

Answer 1

The ninth step in the derivation is to find the lowest common multiple (LCM) to give $x = \frac{-b\; \pm \;\sqrt{b^2 - 4ac}}{2a}$

The derivation of quadratic formula.

In Mathematics, the standard form of a quadratic equation is given by;

ax² + bx + c = 0

Mathematically, the quadratic formula is given by this equation:

$x = \frac{-b\; \pm \;\sqrt{b^2 - 4ac}}{2a}$

The sixth step in the derivation is:

$(x + \frac{b}{2a} )^2 = \frac{b^2 - 4ac}{2a}$

The seventh step in the derivation is:

We would take the square of both sides to have;

$x + \frac{b}{2a} = \frac{\sqrt{b^2 - 4ac}}{2a}$

The eigth step in the derivation is:

We would substract b/2a from both sides to have;

$x = -\frac{b}{2a} \pm \frac{\sqrt{b^2 - 4ac}}{2a}$

The ninth step in the derivation is:

We would find the lowest common multiple (LCM) to have;

$x = \frac{-b\; \pm \;\sqrt{b^2 - 4ac}}{2a}$

Read more on quadratic equation here: brainly.com/question/1214333

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