Question

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 5(x2 30x ___) 15 ___ = 0 5(x2 30x ___) − 15 ___ = 0 5(x2 6x ___) − 15 ___ = 0 5(x2 6x ___) 15 ___ = 0

Answer 1

The missing step in making the equation in vertex form is option D which is

$5(x^{2} +$6x____)+15.

Given Equation $5x^{2} +30x+15=0$

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

$5x^{2} +30x+15=0$

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

($5(x^{2} +6x............)+15..........=0$

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

$5(x^{2} +6x$___-)+15____=0.

Learn more about equations at brainly.com/question/2972832

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