Question

Find the quadratic equation whose roots are 1 and -1/2​

Answer 1

Answer:

2x^2-x-1=0

Step-by-step explanation:

if $\alpha and \beta$ are the roots then the quadratic equation is in the form of

(x-$\alpha$)(x-$\beta$)=0

then (x-1)(x-(-1/2))=0

(x-1)(x+1/2)=0

x^2-x+x/2-1/2=0

x^2-x/2-1/2=0

2x^2-x-1=0