Question

solve this 6x^2 -2x-2= 0​

Answer 1

Roots of the equation are ( 1 ± √13 ) / 6

Step-by-step explanation:

6x² - 2x - 2 = 0

=> 2( 3x² - x - 1 ) = 0

=> 3x² - x - 1 = 0

Conparing 3x² - x - 1 = 0 with ax² + bx + c = 0 we get

• a = 3
• b = - 1
• c = - 1

Discriminant ( D) = b² - 4ac = ( - 1 )² - 4(3)(-1)= 1 + 12 = 13

Using Quadratic formula

=> x = ( - b ± √D) / 2a

=> x = ( 1 ± √13 ) / 6

Therefore the roots of the equation are ( 1 ± √13 ) / 6