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X^2+ 306 = 16x – 3
Help please it has to be the steps of complete square

User Joe Green
by
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2 Answers

5 votes




Step-by-step explanation:

Answer: the picture
X^2+ 306 = 16x – 3 Help please it has to be the steps of complete square-example-1
User Jolbas
by
5.2k points
2 votes

Answer:
\bold{x=8\pm √(373)}

Step-by-step explanation:

x² + 306 = 16x - 3

Subtract 16x and 306 from both sides:

x² - 16x = -309

Add (-16/2)² to both sides to create a perfect square on the left:


x^2 - 16x + \bigg((-16)/(2)\bigg)^2=309+\bigg((-16)/(2)\bigg)^2\\\\\\\text{Simplify:}\\(x-8)^2=373\\\\\\\text{Square root both sides:}\\x - 8 = \pm√(373)\\\\\\\text{Add 8 to both sides:}\\x=8\pm √(373)

User Jyo Fanidam
by
5.2k points
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