Question

Find the Quadratic equation having roots (1+√2) and (1-√2)​

Answer 1

Answer:

x2+2x = 0

Hope it will help you

Answer 2

Given:-

• roots (1 + √2) and (1 - √2)

To Find:-

• the quadratic equation.

step-by-step solution:-

Roots of some quadratic equation are (1 + √2) and (1 − √2)

⟹ x = (1 + √2) or x =(1 − √2)

⟹ x−(1 + √2 )=0 or x−(1 − √2 ) = 0

⟹ (x−(1+ √2))(x−(1− √2 ))=0

⟹ x² − x + x√2 − x −x√2 + 1 − 2 = 0

⟹ x²− 2x − 1 = 0

Hence the quadratic equation is x² - 2x - 1 .