Question

soleve this question.....

Answer 1

x²-1/4x+1=0
x²+√2x+1/3=0
x²+√5=0

Answer 2

Heya !!



(1) Sum of zeroes = 1/4

And,


Product of zeroes = -1


Therefore,

Required quadratic polynomial = X²-(Sum of zeroes)X + Product of zeroes


=> X² - ( 1/4 ) X + (-1)



=> X² - X /4 - 1


=> 4X² - X - 4 [ Answer ]



(2) Sum of zeroes = ✓2



And


Product of zeroes = 1/3



Therefore,

Required quadratic polynomial = X²-(Sum of zeroes)X + Product of zeroes



=> X²-(✓2)X + 1/3


=> X²-✓2X + 1/3



=> 3X² - 3✓2X + 1 [ Answer ]




(3) Sum of zeroes = 0

And,


Product of zeroes = ✓5


Therefore,


Required quadratic polynomial = X²-(Sum of zeroes)X + Product of zeroes


=> X²-(0)X + ✓5


=> X²+✓5 [ Answer ]




(4) Sum of zeroes = 1


And,


Product of zeroes = 1


Therefore,


Required quadratic polynomial = X²-(Sum of zeroes)X + Product of zeroes



=> X²-(1)X + 1



=> X²-X + 1 [ Answer ]