Math, asked by kaneki101karma, 11 months ago

6. Find a quadratic polynomial whose zeroes are 3+ √5 and 3 -√5.
Plzzzzz answer it step by step. I will surely mark you brainliest.

Answers

Answered by Anonymous
50

Sum of zeroes = 3+√5+3-√5 = 6

Product of zeroes = (3+√5)(3-√5) = 4

Quadratic Polynomial :

k(x²-sum of zeroes*x+product of zeroes)

k(x²-6x+4)

Answered by Anonymous
69

Answer:

  • Zeroes = (3 + √5) and, (3 – √5)

\underline{\bigstar\:\:\textsf{According to the Question :}}

\dashrightarrow\tt\:\:x^2-(Sum\: of\:zeroes)x+Product\:of\: zeroes\\\\\\\dashrightarrow\tt\:\:x^2-(3+\sqrt{5}+3-\sqrt{5})x+[(3+\sqrt{5})(3-\sqrt{5})]\\\\\\\dashrightarrow\tt\:\:x^2-(3+3)x+[(3)^2-(\sqrt{5})^2]\\\\\\\dashrightarrow\tt\:\:x^2 - 6x + (9 - 5)\\\\\\\dashrightarrow\:\:\underline{\boxed{\textsf{\textbf{x$^\textbf2$ - 6x + 4}}}}

Similar questions