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Vedmedyk [2.9K]
2 years ago
5

Here are two steps from the derivation of the quadratic formula

Mathematics
2 answers:
Maru [420]2 years ago
5 0

Answer:

C

Step-by-step explanation:

Completing the square means

adding ( half the coefficient of the x- term )² to both sides, that is

( \frac{b}{2a} )² is added to both sides

Genrish500 [490]2 years ago
5 0

Answer:

completing the square

Step-by-step explanation:

Two steps are given for the derivative of quadratic formula.

In completing the square method, we take the coefficient of x and then divide it by 2 and then square it.

Here coefficient of x is b/a

\frac{b}{a} divide by 2 becomes \frac{b}{2a}

Then we square it

(\frac{b}{2a}) becomes(\frac{b}{2a})^2

So, the competing the square took place between the first and second step

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Answer:

a) ∠EAB = 180° - 90° - 30° = 60°

∠EBA = 180° - 90° - 60° = 30°

a) ∠EBA = 30°

b) ∠DCA = 180° - 90° - 30° = 60°

∠EBA ≅ ∠DAC, ∠EAB ≅ ∠DCA, ∠AEB ≅ ∠CDA

ΔEBA ≅ ΔDAC because of the AAA postulate

c) EB ≅ DA, EA ≅ DC, AB ≅ CA

d) AB = CA     given

sin ∠EAB = EB/AB       (sin 60°)   EB = (0.8660)AB

cos ∠EAB = EA/AB      (cos 60°)  EA = (0.5)AB

cos ∠DAC = AD/CA     (cos 30°)  AD = (0.8660)CA

sin ∠DAC = CD/CA      (sin 30°)   CD = (0.5)CA

ED = EA + AD

ED = (0.5)AB + (0.8660)CA

since AB = CA,  ED = 1.366CA

since EB = (0.8660)AB and AB = CA, then EB = 0.866CA

since CD = 0.5CA,

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EB + CD = 1.366CA

1.366CA = 1.366CA

Proof: ED = EB + CD

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