lad8y3haliaMorer
contestada

Tran is solving the quadratic equation 2x2 – 4x – 3 = 0 by completing the square. His first four steps are shown in the table.
In which step did Tran first make an error?

Step 1
Step 2
Step 3
Step 4

Respuesta :

W0lf93
The following steps of solving for the roots of 2x² - 4x -3 = 0 were retrieved from another source Step 1 2x² - 4x = 3 Step 2 2(x² - 2x) = 3 Step 3 2(x² - 2x + 1) = 3 + 1 Step 4 2(x - 1)² = 4 From this, we can see that on Step 3, Tran made a mistake of adding 1 to 3. As we can see, 2(x² - 2x + 1) = 2x² - 4x + 2. That means, instead of adding 1, it should have been 2. Therefore, the step that Tran first made an error is Step 3.
raphealnwobi

The solution to the quadratic equation 2x² - 4x - 3 = 0 is given as x = 1 ± √5/2

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables.

Given the quadratic equation:

2x² - 4x - 3 = 0

Using completing the square, add 3 to both sides:

2x² - 4x - 3 + 3 = 0 + 3

2x² - 4x = 3

Divide through by the coefficient of x²:

x² - 2x = 3/2

Add to both sides the square of half the coeficient of x:

x² - 2x + 1 = 3/2 + 1

(x - 1)² = 5/2

x = 1 ± √5/2

The solution to the quadratic equation 2x² - 4x - 3 = 0 is given as x = 1 ± √5/2

Find out more on equation at: https://brainly.com/question/2972832

#SPJ5

Otras preguntas