Please solve 4x² + 8x + 16 = 0 and show steps. Confused..
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To solve the equation 4x² + 8x + 16 = 0, we can use the quadratic formula. The quadratic formula is given by:
x = (-b ± √(b² - 4ac)) / (2a)
In your equation, a = 4, b = 8, and c = 16. Substituting these values into the quadratic formula, we get:
x = (-8 ± √(8² - 4 * 4 * 16)) / (2 * 4)
x = (-8 ± √(64 - 256)) / 8
x = (-8 ± √(-192)) / 8
We can see that we have a negative number under the square root (√), indicating that the equation has no real solutions because you cannot take the square root of a negative number in the real number system.
Therefore, the equation 4x² + 8x + 16 = 0 has no solutions in the real number system.