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Lera25 [3.4K]
3 years ago
9

Pls help, I need to get my test done b4 the end of today, and I still need to finish the rest of the questions!

Mathematics
1 answer:
aalyn [17]3 years ago
5 0

The equation in required form is: (x-4)^2 = 3

Step-by-step explanation:

Given equation is:

x^2-8x+13=0

to write the equation in (x-a)^2 = b form where a and b are integers

subtracting 13 from both sides

x^2-8x+13-13=0-13\\x^2-8x = -13

To complete the square:

2.x.b = 8x

b = 8x/2x = 4

So adding (4)^2 on both sides

(x)^2-8x+(4)^2 = -13+(4)^2\\(x-4)^2 = -13+16\\(x-4)^2 = 3

Hence,

The equation in required form is: (x-4)^2 = 3

Keywords: Quadratic equation, Vertex form

Learn more about quadratic equation at:

  • brainly.com/question/10978510
  • brainly.com/question/11007026

#LearnwithBrainly

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