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damaskus [11]
2 years ago
7

Solve the equation using complete square method x²-x-2=0​

Mathematics
1 answer:
ollegr [7]2 years ago
3 0

The values of x in x²-x-2=0​ are x = 2 or -1

<h3>How to solve the equation?</h3>

The equation is given as:

x²-x-2=0​

Add 2 to both sides

x² - x = 2

Take the coefficient of x

k = -1

Divide by 2

k/2 = -1/2

Square both sides

(k/2)² = 1/4

Add 1/4 to both sides of x² - x = 2

x² - x + 1/4= 2 + 1/4

Evaluate

x² - x + 1/4= 9/4

Express as perfect square

(x - 1/2)² = 9/4

Take the square roots

x - 1/2 = ±3/2

This gives

x = 1/2 ±3/2

Evaluate

x = 2 or -1

Hence, the values of x in x²-x-2=0​ are x = 2 or -1

Read more about quadratic equations at:

brainly.com/question/26107616

#SPJ1

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