Question

Write the discriminant of the quadratic equation 6x²-x-2 = 0.​

Answer 1

Solution :-

$\sf{ ⟹ \: {6x}^{2} } - x - 2 = 0$

$\sf{⟹ {6x}^{2} - 4x + 3x - 2 = 0}$

$\sf{⟹2x(3x - 2) + ( 3x - 2)1 = 0}$

$\sf{⟹ (2x - 1)(3x - 2) = 0}$

$\sf{ 2x + 1 = 0 \: or \: 3x - 2 = 0} \:$

$\sf{ \: x = \frac{ - 1}{2} }$

$\sf{x = \frac{2}{3} }$

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