Question

the quadratic equation whose roots are a, 1/a is​

Answer 1

Answer:

eq = a$x^{2}$ - ($a^{2}$ +1)x +1

Step-by-step explanation:

lets roots be

x = a

y = 1/a

sum of roots : x+y=a + 1/a = a^2 +1 /a

product of roots: xy = 1

so eq = k($x^{2}$ - (x + y)x + xy)

          = k($x^{2}$ - ($\frac{a^{2} +1 }{a}$)x + 1)

   multiplying with a:

             = a$x^{2}$ - ($a^{2}$ +1)x +1