Question

write the quadratic equation if alfa + bita = -6 and alfa , bita = 4

please give me answer ​

Answer 1

Answer:

Hope it's helpful for you

Step-by-step explanation:

$\alpha + \beta = - 6 \\ and \\ \alpha \beta = 4 \\\: Then \: the \: equation \: is \: \: \: {x}^{2} \times \alpha + \beta \: \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: - x \times \alpha \beta \: + c \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = > - 6 {x}^{2} - 4x \: + c \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 0$

Answer 2

Solution:

We have been given α and β are the zeroes of the polynomial such that α + β= 6 and αβ = 4 .

Sum of Zeroes:

α + β= 6

Product of Zeroes :

αβ = 4

General Formula of Quadratic Polynomial:

f(x) = x² - ( α + β )x + αβ

Find the Quadratic Polynomial:

x² - ( α + β )x + αβ

x² - ( 6 )x + 4

x² - 6x + 4

Therefore, Required Polynomial will be x² - 6x + 4.