Question

find the quadratic polynomial which is the sum of 0 & product of zero is √5​

Answer 1

Answer:

Answers

THE BRAINLIEST ANSWER!



aryansingh12 

 

Expert

Given :-

α + β = 5 / 2

αβ = 1

P(x) = x2 - ( α + β )x + αβ

P(x) = x2 - 5/2x + 1

P(x) = 2x2 - 5x + 2

P(x) = 0

2x2 - 5x + 2 = 0

2x2 - 4x - x + 2 = 0

2x ( x - 2 ) - 1 ( x - 2 ) = 0

( 2x - 1 ) ( x - 2 ) = 0

2x - 1 = 0  & x - 2 = 0

# x = 1 / 2  &  x = 2 are zeros of P(x) #

Hope it helps ..!!! please

Answer 2

${x}^{2} - ( \alpha + \beta )x + \alpha \beta = 0$

is the formula used in this solution where alpha and beta are two roots of the quadratic

${x}^{2} - (0)x + ( \sqrt{5} ) = 0$

is our required quadratic equation

hope it helps you

tq