Question

Write the quadratic equation for which α+ β=-6 and αβ= 4 .. plz tell fast .. its urgent

Answer 1

Step-by-step explanation:

We have been given α and β are the zeroes of the polynomial such that α + β= 6 and αβ = 4 . Therefore, Required Polynomial will be x² - 6x + 4.1

Answer 2

Answer:

$\orange{ \sf \red{\dagger}\:\: \: {x}^{2} + 6x + 4 = 0}$

Step-by-step explanation:

Given

$\sf \: sum \: of \: \: zeroes \: \:\: \alpha + \beta = - 6 \\ \sf \: product \: of \: zeroes \: \: \: \alpha \beta = 4$

General equation of a quadratic equation is :

$\pink{ \bf \: {x}^{2} - ( \alpha + \beta )x + \alpha \beta = 0}$

According to the question, our equation is :

$\sf {x}^{2} - ( \alpha + \beta )x + \alpha \beta = 0 \\ \sf \implies \: {x}^{2} - ( - 6)x + 4 = 0 \\ \sf \implies \: {x}^{2} + 6x + 4 = 0$

$\:\:\:\:\:\:\:\:\:\:\:\:\blue{\ddot{\smile}}$