Question

if α and β are zeroes of polynomial 2x2+ 5x + 1 find value of α+β and αβ

Answer 1

Hi Mate!!

for a general quadratic equations ax² + bx +c = 0

$\alpha \: + \beta = - b \div a \: \: \: \\ \\ and \: \\ \\ \alpha \beta = c \div a \\ \\ \alpha + \beta \: = - 5 \div 2 \\ \\ and \: \\ \\ \alpha \beta \: = 1 \div 2 \\ \\ hope \: \: it \: \: helps$

Answer 2

Here is the answer

The given Equation is 2x^2 + 5x + 1 = 0

Comparing the given equation with

ax^2 + bx + c ,
We get the value of a , b, and c -
a = 2
b = 5
c = 1

Now ,

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

$\bf{= \frac{ - 5}{2}}$

Now,

$\bf{\alpha \beta = \frac{c}{a} }$

$\bf{= \frac{1}{2}}$

Thanks!!