Question

What is the sum of the quadratic equation :-3x²-9x+5=0

Answer 1

Answer:

There are two ways to solve it -:

1. x = −9 −$\sqrt{141}$  /−6 = 3/2 + 1/6$\sqrt{141}$ = 3.479

2. x = −9 + $\sqrt{141}$/−6 = 3/2 + 1/6$\sqrt{141}$ = −0.479

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Answer 2

Solution

Let α , β be zeroes of the polynomial 3x² - 9x + 5 .

Compare given poly. with ax² + bx + c ,

a = 3 , b = - 9 , c = 5

Sum of zeroes ,

$α + β = -b/a$

$:\implies \sf \alpha +\beta=-\dfrac{(-9)}{3}: \\ ⟹α+β=− </p><p>3</p><p>(−9)</p><p>$

$:\implies \sf \alpha +\beta =\dfrac{9}{3}$

$:\implies \sf \pink{\alpha + \beta =3}\ \; \bigstar$

Option a

More Info

Product of zeroes ,

$:\implies \sf \alpha \beta =\dfrac{c}{a}: \\ ⟹αβ= </p><p>a</p><p>c$