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Method 1:

Completing the Square

x2 - 12x + 16 = 0

x2 - 12x + 16 + 20 = 0 + 20

x2 - 12x + 36 = 20

(x - 6)2 = 20

√((x - 6)2) = ±√(20)

√((x - 6)2) = ±√(2*2*5)

x - 6 = ±2√(5)

x - 6 + 6 = 6 ±2√(5)

x - 6 + 6 = 6 ±2√(5)

x = 6 ± 2√(5)

Method 2:

Quadratic Formula

Standard form of a quadratic equation:

ax2 + bx + c = 0

x2 - 12x + 16 = 0

a = 1

b = -12

c = 16

Quadratic Formula

x = (-b ± √(b2 - 4ac))/ 2a

x = (-(-12) ± √((-12)2 - 4(1)(16)))/ 2(1)

x = ((12) ± √(144 - 64))/ 2

x = (12 ± √(80))/ 2

x = (12 ± 4√(5))/ 2

x = 12/2 ± (4/2)√(5)

x = 6 ± 2√(5)

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More answers

x - 8x + 12 = 0

-7x = -12

x = 12/7

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Wiki User

14y ago
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