Question

If 2and 1 ate the roots of the equation ax^+ bx +c =0 find a and b​

Answer 1

Answer:

Step-by-step explanation:

Given,

The value of 'x' = 2 , 1

Equation is :-

ax^2+ bx +c =0

To Find :-

Value of 'a' and 'b'

Solution :-

If α,β are the roots of the equation , then the equation is :-

$x^2-(\alpha +\beta )x+(\alpha \times \beta )=0$

Equation formed with '2' and '1' :-

$x^2-(2+1)x+(2\times 1) = 0$

$x^2-3x+2=0$

Since by comparing the given equation and the equation we got :-

Values of :-

a = 1

b = - 3

c = 2