# Solve x 2 4x 7 0 by completing the square

Asked by wiki @ in **Mathematics** viewed by 260 People

Solve x^2 - 4x - 7 = 0 by completing the square. What are the solutions?

Asked by wiki @ in **Mathematics** viewed by 260 People

Solve x^2 - 4x - 7 = 0 by completing the square. What are the solutions?

Answered by wiki @

**Answer:**

x = ±√11 +2

**Step-by-step explanation:**

Given in the question an equation,

x²- 4x - 7 = 0

**Step 1**

take 7 to the right side of equation

x²- 4x = 7

**Step 2**

To create a trinomial square on the left side of the equation, find a value that is equal to the square of half of b, the coefficient of x

2ab = -4x

2xb = -4x

b = -2

**Step 3**

Take square of b and add it to each side of the equation.

x²- 4x + (-2)²= 7 + (-2)²

x²- 4x + 4 = 7 + 4

x²- 4x + 4 = 11

**Step 4**

Factor the perfect trinomial square

(x−2)² = 11

**Step 5**

take square root on both sides

√(x−2)² = √11

(x-2) = ±√11

x = ±√11 +2

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