Question

Can anyone help me please​

Answer 1

6x2−12x+1=0

Solution

6x2−12x+1=0 :

x=6+√30/6 ,

x=6−√30/6

(Decimal: x=1.91287…, x=0.08712…)

Steps

6x2−12x+1=0

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Solve with the quadratic formula

x1, 2=−(−12)±√(−12)2−4· 6· 1/

2· 6

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√(−12)2−4· 6· 1=2√30

x1, 2=−(−12)± 2√30/2· 6

Separate the solutions

x1=−(−12)+2√30/2· 6 ,

x2=−(−12)−2√30/2· 6

Show Steps

x=−(−12)+2√30/2· 6 : 6+√30/6

Show Steps

x=−(−12)−2√30/2· 6 : 6−√30/6

The solutions to the quadratic equation are:

x=6+√30/6 ,

x=6−√30/6

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Answer 2

$\sf\huge\bold\pink{Answer:}$

$6 {x}^{2} - 12x + 1 = 0 \\ d = {b}^{2} - 4ac \\ d = 144 - 4 \times 6 \\ d = 144 - 24 = 120 \\ \\ x = \frac{ - b + \sqrt{d} }{2a} = \frac{12 + \sqrt{120} }{12} = \frac{12 + 2 \sqrt{30} }{12} = \frac{6 + \sqrt{30} }{6}$