Question

factorise this 3x^2 -2√15x+3
Please give answer fastly​

Answer 1

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Answer 2

$\mathfrak{The\:Answer\:is}$

$3x {}^{2} - 2 \sqrt{15} x + 3$

$comparing \: with \: ax {}^{2} + bx + c = 0$

$a = 3 \: \: \: b = 2 \sqrt{15} \: \: \: c = 3$

$x = - b + - \sqrt{b {}^{2} - 4ac } \div 2a$

$- (2 \sqrt{15}) {}^{2} + - \sqrt{(2 \sqrt{15)} {}^{2} - 4 \times 3 \times 3 } \div 2 \times 3$

$= - 60 + - \sqrt{60 - 36} \div 6$

$= - 60 + - \sqrt{24} \div 6$

$= 2( - 30 + - \sqrt{6} ) \div 6$

$= - 30 + - \sqrt{6} \div 3$

Therefore factors are

$- 30 + \sqrt{6} \div 3$

and

$- 30 - \sqrt{6} \div 3$

$\boxed{Hope\:This\:Helps}$