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Sagot :
The missing step in making the equation in vertex form is option D which is
[tex]5(x^{2} +[/tex]6x____)+15.
Given Equation [tex]5x^{2} +30x+15=0[/tex]
Parabola in vertex form. Equation is a relationship between two or more variables which is expressed in equal to form. It is solved to find the variables.
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 parenthesis, along with a space outside it to compensate. This should look like
([tex]5(x^{2} +6x............)+15..........=0[/tex]
Those spaces need to be filled out like shown in the step 2. Thus the correct step is D.
Hence the correct step in vertex form is D which is
[tex]5(x^{2} +6x[/tex]___-)+15____=0.
Learn more about equations at https://brainly.com/question/2972832
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