Question

can anyone solve this question for 50 points​

Answer 1

The quadratic formula states:  

For  a x 2 + b x + c = 0 ,

the values of  x  which are the solutions to the equation are given by:

x = − b ± √ b 2 − ( 4 a c ) 2 ⋅ a  

Substituting:  6  for  a  − 12  for  b  1  for  c  gives:

x = − ( − 12 ) ± √ ( − 12 ) 2 − ( 4 ⋅ 6 ⋅ 1 ) 2 ⋅ 6  

x = 12 ± √ 144 − 24 12  

x = 12 ± √ 120 12  

x = 12 ± √ 4 ⋅ 30 12  

x = 12 ± 2 √ 30 12  

Or

 x = 1 ± √ 30 6

Hope it helps

:)

Answer 2

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

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