Question

Form quadratic equation whose one root is 4√3 - 3√2

Answer 1

The required quadratic equation is  x^2 - 8x√3 + 30 = 0

Step-by-step explanation:

Given: One root of quadratic equation is 4√3 - 3√2

To find: The quadratic equation

Solution:

we know, 4√3 - 3√2 if is one of the root of quadratic equation then.

x = 4√3 - 3√2

x - 4√3 = - 3√2

Squaring both sides:

(x - 4√3 )^2 = (- 3√2)^2

x^2 + 16(3) -2(x)(4√3 ) = 9(2)

x^2 + 48- 8x√3 = 18

x^2 +48 -18 - 8x√3 = 0

x^2 - 8x√3 + 30 = 0

Therefore, The required quadratic equation is  x^2 - 8x√3 + 30 = 0

Also learn more

Explain quadratic equations ?

https://brainly.in/question/6247404