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jarptica [38.1K]
3 years ago
12

Complete the square to transform the quadratic equation into the form (x – p)2 = q.

Mathematics
1 answer:
ryzh [129]3 years ago
7 0

The transformed equation is:

(x-3)^2 = 23

Step-by-step explanation:

We have to convert the equation in the form

(x-p)^2 = q

Given equation is:

x^2-6x-8 = 6

Adding 8 on both sides

x^2-6x-8+8 = 6+8\\x^2-6x = 14

In the given equation

a = x

b= ?

So,

2.x.b = 6x\\b =\frac{6x}{2x}\\b = 3\\

So 3^2 will be added on both sides

(x)^2-6x+ (3) = 14+ (3)^2\\(x-3)^2 = 14+9\\(x-3)^2 = 23

Hence,

The transformed equation is:

(x-3)^2 = 23

Keywords: Quadratic equation, transformation

Learn more about quadratic equation at:

  • brainly.com/question/5248692
  • brainly.com/question/5223123

#LearnwithBrainly

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Step-by-step explanation:

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