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The equation 5x2 + 30x + 15 = 0 is being rewritten in vertex form. Fill in the missing step.
Given 5x2 + 30x + 15 = 0
Step 1 ✔
Step 2 5(x2 + 6x + 9) + 15 − 45 = 0
Step 3 5(x + 3)2 − 30 = 0
A: 5(x2 + 30x ___) + 15 ___ = 0
B:5(x2 + 30x ___) − 15 ___ = 0
C:5(x2 + 6x ___) − 15 ___ = 0
D:5(x2 + 6x ___) + 15 ___ = 0

Respuesta :

elcharly64

Answer:

D:5(x2 + 6x ___) + 15 ___ = 0

Step-by-step explanation:

Parabola in Vertex Form

To express the equation of a parabola in vertex form we must complete squares. The equation is given as

[tex]5x^2 + 30x + 15 = 0[/tex]

The first step is to factor 5 and leave space to complete the third term in the parentheses, along with a space outside it to compensate. This should look like

[tex]5(x^2 + 6x\text{........)} + 15....... = 0[/tex]

Those spaces need to be filled out like shown in the step 2. Thus the correct option is D

alexmikayla06

Answer:

D is right

Step-by-step explanation:

Took the test

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