-2x=x^2-6−2x=x 2 −6minus, 2, x, equals, x, squared, minus, 6 1) Rewrite the equation by completing the square.

(x+1)² = 7

Step-by-step explanation:

Given the expression

-2x = x² - 6

Rewrite

x² - 6 + 2x = 0

x²+2x-6 = 0

Add 6 to both sides

x²+2x-6+6 = 0+6

x²+2x = 6

Add square of half of coefficient of x to both sides

Coefficient of x = 2

Half of Coefficient of x = 2/2 = 1

Square of half of Coefficient of x = 1² = 1

Add 1 to both sides

x²+2x + 1= 6 + 1

Factorize the LHS

x²+x+x + 1 = 7

x(x+1)+1(x+1) = 7

(x+1)(x+1) = 7

(x+1)² = 7

hence the equation rewritten by completing the square method is

(x+1)² = 7

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