If The Roots Of The Equation X22cxab0 Are Real Unequal Proove That The Equation X2 2abxa

If The Roots Of The Equation X2 2cx Ab 0 Are Real And Unequa If the roots of the equation qx2 2px 2q = 0 are real and unequal, prove that the roots of the equation (p q)x2 2qx (p −q) = 0 are imaginary. view solution. To prove that the equation x2−2(a b)x a2 b2 2c2=0 has no real roots if the roots of the equation x2 2cx ab=0 are real and unequal, we need to analyze both equations through their discriminants.

7 If The Roots Of The Equation X2 2cx Ab 0 Are Real Unequal Prove That The correct option is: (c) no real explanation: the given equation x2 2cx ab = 0 has real and unequal roots. => d = (2c)2 4ab > 0 => 4c2 4ab > 0 => c ab > 0 now, the equation x2 2 (a b)x a2 b2 2c2 = 0 . d = ( 2 (a b))2 4 (a2 b2 2c2) = 4a2 4b2 8ab 4a2 4b2 8c2 = 8ab 8c2 = 8 (ab c2) < 0 (.'. c2 ab > 0). If the roots of the equation x 2 2 c x a b = 0 are real and unequal, then prove that the roots of x 2 2 a b x a 2 b 2 2 c 2 = 0 will be imaginary. Ready to test your skills? check your performance today with our free mock test used by toppers! get expert academic guidance – connect with a counselor today!. To prove that the equation x2 −2(a b)x a2 b2 2c2 = 0 has no real roots, we will analyze the conditions given by the first equation. the roots of the equation x2 2cx ab= 0 are real and unequal if its discriminant is greater than zero.

Q 2 If The Roots Of The Equation X2 2cx Ab 0 Are Real Unequal Prove Th Ready to test your skills? check your performance today with our free mock test used by toppers! get expert academic guidance – connect with a counselor today!. To prove that the equation x2 −2(a b)x a2 b2 2c2 = 0 has no real roots, we will analyze the conditions given by the first equation. the roots of the equation x2 2cx ab= 0 are real and unequal if its discriminant is greater than zero. If the roots of the equation (b c)x2 (c a)x (a b) = 0 are equal, then prove that 2b = a c. ⇒ 4 ( a² b² 2ab ) 4 ( a² b² 2c² ) = 0 ⇒ 4a² 4b² 8 ab 4a² 4b² 8c² = 0 ⇒ 8 ( ab c² ) from (1), we know that ; so, roots of the second equation are less than 0. ∴ the equation has no real roots. thanks for the question ! ☺️☺️ ️☺️☺️. If the roots of the equation, $x^2 2cx ab = 0$ are real and unequal, then prove that the equation $x^2 2 (a b)x a^2 b^2 2c^2 = 0$ has no real roots. Step 1: determine the condition for real and unequal roots for the quadratic equation x2 2cx ab= 0 to have real and unequal roots, the discriminant must be greater than zero.