Akar2 persamaan kuadrat 3x^2 -5X - 4 = 0, adalah X1 dan X2. nilai dari 4/x1^2 + 4/x2^2 = .... Question from @AnjaniSP

October 2018 2 103 Report

Akar2 persamaan kuadrat 3x^2 -5X - 4 = 0, adalah X1 dan X2. nilai dari 4/x1^2 + 4/x2^2 = ....

izharulhaq78 $\frac{4}{x_1^2}+\frac{4}{x_2^2}\\\frac{4x_2^2+4x_1^2}{x_1^2x_2^2}\\\frac{4(x_2^2+x_1^2)}{(x_1x_2)^2}\\\frac{4((x_2+x_1)^2-2x_1x_2)}{(x_1x_2)^2}\\\frac{4((\frac{-b}{a})^2-2\times\frac{c}{a})}{(\frac{c}{a})^2}\\\frac{4((\frac{-(-5)}{3})^2-2\times\frac{-4}{3})}{(\frac{-4}{3})^2}\\\frac{4((\frac{25}{9})+\frac{8}{3})}{\frac{16}{9}}\\\frac{4(\frac{25}{9}+\frac{24}{9})}{\frac{16}{9}}\\\frac{4(\frac{49}{9})}{\frac{16}{9}}\\\frac{4(49)}{16}\\\boxed{\frac{49}{4}}$

0 votes Thanks 1

adiyatgodwiky ayo bro ati2 ngitungnya, 24+25 berapa :D

izharulhaq78 terima kasih atas koreksinya

adiyatgodwiky $- \frac{b}{a}= \frac{5}{3} \\ \frac{c}{a} =- \frac{4}{3} \\ \\ = \frac{4}{ x_{1}^{2}} +\frac{4}{ x_{2}^{2}} \\ = \frac{4 x_{1}^{2} +4 x_{2}^{2}}{x_{1}^{2}x_{2}^{2}} \\ = \frac{4(x_{1}^{2}+x_{2}^{2})}{(x_{1}x_{2})^2} \\ = \frac{4((x_{1}+x_{2})^2-2x_{1}x_{2})}{(x_{1}x_{2})^2} \\ = \frac{4(( \frac{5}{3} )^2-2 (-\frac{4}{3})}{(-\frac{4}{3})^2} \\ = \frac{4( \frac{25}{9} + \frac{8}{3} )}{ \frac{16}{9} } = 4 (\frac{49}{9}) X \frac{9}{16} \\ = \frac{49}{4}$

1 votes Thanks 1

About Us

Life Enjoy

" Life is not a problem to be solved but a reality to be experienced! "

Tolong bantu soal kelas X. Nilai dari : sin 135° sec 210° + cos 135° cot 225° = ?

Hukum yg berlaku saat ini disebut juga hukum...

Recommend Questions

Life Enjoy

Get in touch

Social