Question

The quadratic equation whose roots are 1 and -1/2

Answer 1

Answer:

2x²-x-1=0

Step-by-step explanation:

sum of roots=1+(-1/2)=1-1/2=1/2

product of roots=1×(-1/2)=(-1/2)

skeletal quadratic equation:-

x²-(sum of roots)+(product of roots)=0

x²-(1/2)x+(-1/2)=0

(2x²-x-1)/2=0

2x²-x-1=0