1.

For what the value of m the equation 3mx square=4(mx-1) will have equal Roots

Answer»

EXPLANATION.

Value of m the equation,

⇒ 3mx² = 4(mx - 1).

As we know that,

D = Discriminant  b² - 4ac.

D = 0 Roots are real and equal.

⇒ 3mx² = 4(mx - 1).

⇒ 3mx² = 4mx - 4.

⇒ 3mx² - 4mx + 4 = 0.

⇒ (-4M)² - 4(3m)(4) = 0.

⇒ 16m² - 48m = 0.

⇒ 16m(m - 3) = 0.

⇒ m = 0  and  m = 3.

                                                                                                                         

MORE INFORMATION.

Nature of the FACTORS of the QUADRATIC expression.

(1) = Real and different, if b² - 4ac > 0.

(2) = Rational an different, if b² - 4ac is a perfect square.

(3) = Real and equal, if b² - 4ac = 0.

(4) = If D < 0 Roots are imaginary and unequal or complex conjugate.


Discussion

No Comment Found

Related InterviewSolutions