Amritpal14
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2x² - 5x+1 has roots alpha and beta. Find alpha²+beta².
Please answer fast. I will mark the best answer as brainliest. ​

2x 5x1 has roots alpha and beta Find alphabetaPlease answer fast I will mark the best answer as brainliest class=

Respuesta :

caylus

Answer:

[tex]\dfrac{21}{4}[/tex]

Hello,

Step-by-step explanation:

[tex]2x^2-5x+1=2(x^2-\frac{5}{2}+\frac{1}{2} )\\\\\alpha+\beta=\dfrac{5}{2} \\\\\alpha*\beta=\frac{1}{2} \\\\(\alpha+\beta)^2=\alpha^2+\beta^2+2\alpha*\beta\\\\\alpha^2+\beta^2\\\\=(\alpha+\beta)^2-2\alpha*\beta\\\\\\=(\dfrac{5}{2} )^2-1\\\\=\dfrac{21}{4} \\[/tex]

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