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OleMash [197]
3 years ago
9

Solve the equation x^2+6x+1=0

Mathematics
2 answers:
Delicious77 [7]3 years ago
7 0

Hello!

x² + 6x + 1 = 0 <=>

<=> x = -6±√6²-4×1×1/2×1 <=>

<=> x = -6±√36-4/2 <=>

<=> x = -6±√32/2 <=>

<=> x = -6±2²√2/2 <=>

<=> x = -6±4√2/2 <=>

<=> x = -6+4√2/2 <=>

and

<=> x = -6-4√2/2 <=>

<=> x = -3+2√2 <=>

and

<=> x = -3-2√2 <=>

x1 = -3-2√2 and x2 = -3+2√2

Good luck! :)

ASHA 777 [7]3 years ago
3 0
X^2+6X+1=0
X^2+6X+3^2-3^2+1=0
(X+3)^2-9+1=0
(X+3)^2=8
X+3= ± 2√2
X= ±2√2-3
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