Question

find the sum of zeroes and product of zeroes of (2x²+7x+6)

Answer 1

Step-by-step explanation:

$2 {x}^{2} + 7x + 6 \\ \\ if \: \: we \: \: take \: \: two \: \: zeroes \: \: is \: \: \alpha \: \: and \: \: \beta \\ \\ then \\ \\ sum \: \: of \: \: zeroes \: \: is \: \: \alpha + \beta = \frac{ - b}{a} = \frac{ - 7}{2} \\ \\ and \\ \\ product \: \: of \: \: zeroes \: \: is \: \: \alpha \beta = \frac{c}{a} = \frac{6}{2} = 3 \\ \\ here \: \: a \: \: b \: \: c \: \: \: are \: taken \: \: from \: \: questions$

if my answer is right then mark it as a brainly answer.

i tried my best.

Answer 2

Given Equation

➝2x² + 7x + 6

Now Comparing with

➝ ax² + bx + c = 0

We get

➝a = 2 , b = 7 and c = 6

➝Sum of zeroes = -b/a

➝Product of zeroes = c/a

➝Sum of zeroes (α+β) = -7/2

➝Product of Zeroes (αβ) = 6/2 = 3

Now we get

➝α+β= -7/2 and αβ = 3

More Information about Quadratic equation

➝Definition:- it is the polynomial equations of degree 2 in one variable of type f(x) = ax² + bx + c 

Formula to find the values of x its is also called Quadratic Formula

➝x = {-b+√(b² - 4ac)}/2a , {-b-√(b² - 4ac)}/2a

➝Discriminant(D) = b² - 4ac