Question

find the quadratic equation whose roots are a and -2a​

Answer 1

Answer:

X^2+aX-2a^2

Step-by-step explanation:

X^2-X(a-2a)+a*-2a

X^2-X(-a)-2a^2

X^2+aX-2a^2

Answer 2

Answer:
x²+ax-2a²
Step-by-step explanation:
Sum of roots=S= a-2a => - a
Product of roots=P= a(-2a)=> -2a²
Now required Equation is
x²-Sx+P=0
So,
x²-(-a)x+(-2a²)=0
x²+ax_2a²=0
Hence, it is required equation... Thanks!