Question

If alpha and beta are the zeros of the polynomial x2-4 root 3x+3, then find the value of alpha plus beta minus alpha into beta

Answer 1

Answer:

Step-by-step explanation:

Given :-

• Polynomials = x² - 4√3x + 3

To Find :-

• The Value of α + β - αβ

Solution :-

Let,  x² - 4√3x + 3 = 0

If α and β are the zeros of x² - 4√3x + 3

$\sf \implies \alpha + \beta=-\frac{b}{a}$

$\sf \implies \alpha + \beta=-\frac{(-4\sqrt{3)} }{1}$

$\bf \implies \alpha + \beta=4\sqrt{3}$

$\sf \implies \alpha\beta=\frac{c}{a}$

$\sf \implies \alpha\beta=\frac{3}{1}$

$\bf \implies \alpha\beta=3$

$\bf \implies \alpha + \beta -\alpha\beta=4\sqrt{3}-1$

Hence, The value of α + β - αβ is $\bf 4\sqrt{3}-1.$

Answer 2

Answer:

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