CBSE Class 10 Answered

6x² - 7x - 3 = 0,

x = (7±(49 + 4x6x3))/12 = (7±121)/12 = (7±11)/12 = 18/12 and -3/12 i.e. 3/2  and -1/3.

Hence the roots are 3/2 and - 1/3,

Now,  arranging the quadratic equation in standard form,

x² - 7x/6 - 3/6 = 0,

the sum of the roots should equal coefficient of x, i.e.  7/6.

3/2 - 1/3 = 7/6            .. verified,

also the product of roots be equal to constant term i.e. - 3/6,

(3/2)(-1/3) = - 3/6          ... verified.

Regards,

Team,

TopperLearning.