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Solve 5x+1=2x² + 9x.
Intra
Which are steps in the process of completing the
square used to solve the equation?
1=2(x²+2x)
1=2x² + 4x
2 = 2(x² + 2x + 1)
3=2(x + 1)²2
2=2(x + 1)²
Done

Respuesta :

oladayoademosu

So, comparing our steps with the options, the steps in the process of completing the square are

  • 1 = 2x² + 4x
  • 1 = 2(x² + 2x) and
  • 2(x + 1)² = 3

What is completing the square method?

Completing the square method is a method of solving quadratic equations by converting them to perfect square binomial.

How to find steps in the process of completing the square used to solve the equation?

To find steps in the process of completing the square used to solve the equation 5x + 1 = 2x² + 9x

So, to complete the square we follow this process

5x + 1 = 2x² + 9x

Subtract 5x fromboth sides, we have

5x + 1 - 5x = 2x² + 9x - 5x

1 = 2x² + 4x

Factorizing 2 out, we have

1 = 2(x² + 2x)

Dividing through by 2, we have

1/2 = (x² + 2x)

Subtracting 1/2 from both sides, we have

x² + 2x - 1/2 = 0

To complete the square, we add the squar of half the coefficient of x to both sides. So,

x² + 2x - 1/2 + (2/2)² = 0 + (2/2)²

x² + 2x - 1/2 + 1² = 0 + 1²

x² + 2x + 1² - 1/2  = 1²

(x + 1)² - 1/2 = 1

(x + 1)² = 1 + 1/2

(x + 1)² = 3/2

2(x + 1)² = 3

So, comparing our steps with the options, the steps in the process of completing the square are

  • 1 = 2x² + 4x
  • 1 = 2(x² + 2x) and
  • 2(x + 1)² = 3

Learn more about completing the square here:

https://brainly.com/question/26107616

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