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klemol [59]
4 years ago
11

Complete the square x squared +18x-64=0

Mathematics
1 answer:
Anestetic [448]4 years ago
3 0

Answer:

x = -9±√145 (= 3.04 or -21.04)

Step-by-step explanation:

x²+18x-64 = 0   (move the constant to the right side, add 64 to both sides)

x²+18x = 64   (divide the x-term by 2, square it, then add it to both sides)

x²+18x + (18/2)²= 64 + (18/2)²     (simplify)

x²+18x + 9²= 64 + 9²

x²+18x + 9²= 64 + 81

x²+18x + 9²= 145  (simplify left side using the property (a+b)² = a²+ 2ab+b²)

(x+9)² = 145   (take square root of both sides)

x+9 = ±√145

x = -9±√145 (= 3.04 or -21.04)

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