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Mathematics
Anya Klein
5 June, 03:30
Solve by completing the square. x^2 + 4x - 1 = 0
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Peter Wilkerson
5 June, 06:45
0
x = - 2 ± sqrt (5)
Step-by-step explanation:
x^2 + 4x - 1 = 0
Add 1 to each side
x^2 + 4x - 1+1 = 0+1
x^2 + 4x = 1
Take the coefficient of x
4
Divide by 2
4/2 = 2
Square it
2^2=4
Add it to each side
x^2 + 4x+4=1+4
(x+2) ^2 = 5
Take the square root of each side
sqrt ((x+2) ^2) = ± sqrt (5)
x+2 = ± sqrt (5)
Subtract 2 from each side
x+2-2 = - 2 ± sqrt (5)
x = - 2 ± sqrt (5)
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