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kicyunya [14]
4 years ago
6

Solve this quadratic equation by completing the square. x2 + 4x = 15

Mathematics
1 answer:
xenn [34]4 years ago
4 0

Answer:

x = -2 + √19, x = -2 - √19

Step-by-step explanation:

Equation: x² + 4x = 15

Complete the square of ax² + bx: x² + 4x <em>+ 4</em>

Insert into equation (with balancing): x² + 4x + 4 = 15 <em>+ 4</em>

Change form: <em>(x + 2)²</em> = 15 + 4

Combine like terms: (x + 2)² = 19

Square root: x + 2 = ±√19

Isolate x: x = -2 ± √19

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