Question

in the following determine whether the given quadratic equation have real roots and if so find the roots:
3a²x²+8abx+4b²=0, a≠0​

Answer 1

Answer

For a quadratic equation, ax2 + bx + c = 0, D = b2 – 4ac If D < 0, roots are not real If D > 0, roots are real and unequal If D = 0, roots are real and equal 3 a 2 x 2 + 8 a b x + 4 b 2 = 0 , a ≠ 0 3a2x2+8abx+4b2=0,a≠0 ⇒ D = 64a2b2 – 4 × 3a2 × 4b2 = 16a2b2 Read more on Sarthaks.com - https://www.sarthaks.com/1077989/following-determine-whether-given-quadratic-equations-have-real-roots-and-find-roots-8abx