Question

Write the equation whose roots are a and 1/a

Answer 1

Answer:

ax²+(a²+1)x+ a =0

Step-by-step explanation:

just use standard form of equation

x² + (sum of roots)x + ( multiple of roots) = 0

x²+(a+1/a)x+a*1/a =0

x²+((a²+1)/a)x+ 1 =0

ax²+(a²+1)x+ a =0