Question

5) Find the quadratic equation, if the sum of the roots is 24 and
the roots is 24 and the product of the roots is 140.​

Answer 1

Answer:

Let the quadratic equation be = ax^2 + b x + c

= The product of roots is given by = c / a = 140. c = 140 a.

= The sum of roots is given by = b / a = 24. b = 24 a.

= a x^2 + b x + c = 0

= a x^2 + 24 bax + 140 a = 0

= a ( x^2 + 24 x + 140) = 0

= x^2 + 24 x + 140 = 0.

Answer 2

Answer:

X^2-24X+140

Step-by-step explanation:

here given a+b=24,ab=140

general form of quadratic equations is ax^2-(a+b)X+ab

sub values of a+b and a×b