Question

find the quadratic equation from the sum of zeros 1/4 and product of zeros -1​

Answer 1

Answer:

α+β = 1/4

αβ = -1

We can form a quadratic equation with zeroes by using this formula-

x²-(α+β)x + (αβ)

x²-(1/4)x + (-1)

4x²-x-1                ( By taking LCM)

∴Quadratic equation thus formed is 4x² - x- 1.