In 6.
The sum of the roots of a quadratic equation is 7 and the sum of their
cubes is 133. To find the quadratic equation, fill in the empty boxes.
Solution : Suppose, a and B are the roots of the quadratic equation in
variable x.
Answers
Answered by
1
Answer:
a+b=7
a^3+b^3=133
(a+b) (a^2+b^2+ab) =133
(a+b) (a^2+b^2+2ab-ab) =133
7*((a+b) ^2-ab) =133
7*(49-ab) =133
49*7-7ab=133
343-7ab=133
-7ab=133-343
-7ab=-210
ab=210/7
ab=30
quadratic equation,
x^2-(a+b) x+ab=0
x^2-7x+30=0.
Similar questions