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

x = -2 + √19, x = -2 - √19

Step-by-step explanation:

Equation: x² + 4x = 15

Complete the square of ax² + bx: x² + 4x + 4

Insert into equation (with balancing): x² + 4x + 4 = 15 + 4

Change form: (x + 2)² = 15 + 4

Combine like terms: (x + 2)² = 19

Square root: x + 2 = ±√19

Isolate x: x = -2 ± √19

answer: standard form is ax^2 + bx + c = 0

step-by-step explanation:

standard form is ax^2 + bx + c = 0

(2x + 1)(x - 2) = 0

distribute to get into standard form

2x^2 - 4x + x - 2 = 0

2x^2 - 3x - 2 = 0

a = 2, b= -3, c = -2

a is your answer

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step-by-step explanation:

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