Question

root of quadratic equation are 2 -root 5 and 2 + root 5 find the quadratic equation ​

Answer 1

Answer:

Step-by-step explanation:

Answer 2

Answer:

roots are 2+ √5 and 2-√5

their sum = 2 + √5 + 2-√5 = 4

and product = ( 2 + √5)(2-√5) = -1

so,

required quadratic equation is

x²- ( sum)x + product = 0

or ,

x² -4x + ( -1) = 0

= x² -4x - 1 = 0.

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