Solve by completing the square x²+8x=13

Step-by-step explanation:

Step 1: Create a perfect square:  Add the value to both sides

x² + 8x +  16   = 13 +  16  

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Step 2: Factor left side so it is a perfect square and simplify right side:

Step 3: Take the square root of both sides

Step 4: Solve for x:

x = - 4 ±

Step-by-step explanation:

the coefficient of the x² term is 1 as required

to complete the square

add (half the coefficient of the x-term )² to both sides

x² +2(4)x + 16 = 13 + 16

(x + 4)² = 29 ( take the square root of both sides )

x + 4 = ± ← note plus or minus

subtract 4 from both sides

x = - 4 ± ← exact solutions

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step-by-step explanation:

step-by-step explanation: