Math, asked by harshitgupta4242, 1 year ago

form the quadratic equation whose roots are √3 and 3√3

Answers

Answered by Anonymous

7

$<b><body bgcolor="black"><font color="white">$

$\textsf{Hey\:Brainly\:user}$

$\textsf{Here\:is\:answer}$

_________________________________

$\texttt{Question}$

form the quadratic equation whose roots are √3 and 3√3

$\texttt{Answer}$

Given,

$\alpha = \sqrt{3}$

$\beta = 3 \sqrt{3}$

$sum \: of \: roots( \alpha + \beta ) = \sqrt{3} + 3 \sqrt{3} = 4 \sqrt{3}$

$product \: of \: the \: roots = ( \alpha \beta ) = \sqrt{3} (3 \sqrt{3)}$

Quadratic equation

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

$k(x {}^{2} - (4 \sqrt{3)}x + \sqrt{3} (3 \sqrt{3)} )$

$k(x {}^{2} - 4 \sqrt{3}x + 9)$

$let \: k = 1$

$x {}^{2} - 4 \sqrt{3}x+ 9$

Answered by Itsritu

5

Answer:

$\alpha = \sqrt{3}$

$\beta = 3 \sqrt{3}$

$the \: sum \: of \: roots \: ( \alpha + \: \beta ) = \sqrt{3} + 3 \sqrt{3} = 4 \sqrt \: {3} .$

$product \: of \: the \: roots \: = (\alpha \beta ) = \sqrt{3}( \: 3 \sqrt{3} ).$

$quadratic \: equation \:$

$k( {x}^{2} - ( \alpha + \beta ) x \: + \alpha \beta .$

$k( {x}^{2} - 4\sqrt{3} )x \: + \: \sqrt{3}(3 \sqrt{3} ) .$

$k(x {}^{2} - 4 \sqrt{3} + 9.$

$let \: k \: = 1.$

${x}^{2} - 4 \sqrt{3}x \: + 9.$

#answerwithquality #BAL.

Previous Question

Next Question

Similar questions

English, 6 months ago

give me the answer of the question . Editing !!

Math, 6 months ago

check for consistency 2x+3y-z=1 3x-4y+3z=-1 2x-y+2z=-3 3x+y-2z=4...

English, 6 months ago

(1 a are с were a с 7 Fill in the blanks by choosing the correct option for any four of the six sentences given below (i) Everybody keen to participate in the upcoming ‘nukkad natak”. b has d (ii) I........ ... some wood for the fire, while you ......the salad. fetch, are preparing b am fetching, will prepare have fetched, prepared will fetch, prepare (iii) my dad nor my brothers know how to play...

Biology, 1 year ago

heya✔️✌ ❌❌please don't spam❌❌ just see the attachement Ans is sugarcane but how??

Math, 1 year ago

at what rate percent per annum will a sum of money 6400 amount to money 7396 in 3 years, compounded annually?

Biology, 1 year ago

characteristic of wall lizard...

Social Sciences, 1 year ago

discuss the main causes of the revolt of Bastar and how did British suppress it...

Math, 1 year ago

18x square - 50(b-c) square Plz answer it fast Plz I will make you as a brainliest...