Question

roots of quadratic equation are 2-roots 5and 2+roots5. find the quadratic equation ​

Answer 1

Answer:

x^2 - 4x + 1 = 0

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Answer 2

Answer:

given roots are 2 + √5 and 2 - √5

their sum = 2 + √5 +2 - √5. = 4

and product = ( 2 + √5)+(2 - √5)

= 2² - 5 = 4 -5

= -1 so,

required quadratic equation is

x² - ( sum )x + product = 0

or,

x² - 4x + ( -1) = 0

or,

x² -4x -1 = 0.

is the required quadratic equation