Question

a quadratic equation whose one root is 3 +√2 is​

Answer 1

Answer:

x^2 - 6x +7=0.

is the required equation

Step-by-step explanation:

i have given steps in image.

hope it is helpful..

mark it brainliest plzz!!

Answer 2

The quadratic equation whose one root is 3 + √2 is x² - 6x + 7 = 0

Given :

One root of quadratic equation is 3 + √2

To find :

The quadratic equation

Solution :

Step 1 of 2 :

Write down the root of the equation

Here it is given that one root of quadratic equation is 3 + √2

Step 2 of 2 :

Find the equation

Let x be the variable involved

Then we have

$\displaystyle \sf{ x = 3 + \sqrt{2} }$

$\displaystyle \sf{ \implies x - 3 = \sqrt{2} }$

$\displaystyle \sf{ \implies {(x - 3 )}^{2} = {(\sqrt{2} )}^{2} }$

$\displaystyle \sf{ \implies {x}^{2} - 6x + 9 = 2 }$

$\displaystyle \sf{ \implies {x}^{2} - 6x + 9 - 2 = 0 }$

$\displaystyle \sf{ \implies {x}^{2} - 6x + 7 = 0 }$

Hence the required Quadratic equation is x² - 6x + 7 = 0

━━━━━━━━━━━━━━━━

Learn more from Brainly :-

$1.$ Find the roots of the quadratic equation 6x2 +5x + 1 =0 by method of completing the squares.

https://brainly.in/question/30446963

2. Write a quadratic equation whose root are -4 and -5

https://brainly.in/question/24154410