Question

obtain the quadratic equation if roots are 1)7,10
2)6,-13​

Answer 1

Answer:

Step-by-step explanation:

1) let alpha=α=7 and beta=β=10

General form of the quadratic equation be x^2 + (α + β ) x + (αβ)

Now substituting α and β values...

=x^2 + (7 + 10 )x + (7 × 10 ) = x^2 + 17x + 70

∴ Required quadratic equation be x^2 + 17x + 70 = 0.

2) Let α = 6 and β = -13

Now substituting α and β values. ...

x^2 + (6 - 13)x + 6 (-13) = x ^2 -7x -78

∴ Required quadratic equation be x^2 - 7x -78 = 0.