Solve x2 = 12x – 15 by completing the square. Which is the solution set of the equation?

2 answers:

4 0

The solution is x = 6 + √21. The standard equation of a quadratic function is ax2 + bx + c = 0. Thus, the equation x2 = 12x – 15 can be rearranged to x2 - 12x + 15 = 0. Next, we move the constant term to the right side: x2 - 12x = -15. Here, b = 12, so (b/2)² = (12/2)² = (6)² = 36. We add this value to both sides: x2 - 12x + 36 = -15 + 36. Consequently, (x-6)² = 21. Taking the square root on both sides results in x - 6 = √21. Solving for x reveals that x = 6 + √21.

tester [12.3K]2 months ago

3 0

We are presented with the following polynomial: The initial step is to move the variables to one side of the equation. After doing this, we have: We complete the square by adding (b / 2) ^ 2 to both sides of the equation. After doing so, we obtain: Rewriting this gives us: Therefore, the solutions are: The solution set of the equation is:

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A cycle race in France is 2214.5 miles in length. Miguel knows his average speed from previous races is 21.14 miles per hour. Fo

AnnZ [12381]

Answer: 12 days

Step-by-step explanation:

Distance = speed x time

2214.50 = 21.14 / t

t = 2214.50 / 21.14 = 104.75 hours

By cycling 9 hours each day, it will take

104.75 / 9 = 11.64 = 12 days

8 0

3 months ago