Question

Sum of zeroes is 1 and product of the zeroes is 1/2 what is the quadratic equation​

Answer 1

Answer:

$\huge\textbf{Answer:-}$

Let α and β be the zeros of the given quadratic polygon:-

According to the given question:-

1 is equal to the sum of zeros

So,

$= > \alpha + \beta = 1$

$= > \alpha + \beta = \frac{1}{2}$

We know that:-

=> x² - (α + β)x + αβ = 0

$= > x {}^{2} - 1x + \frac{1}{2}=0$

$= > \frac{2x {}^{2} - 2x + 1 {}^{} }{2} = 0$

$= > 2x {}^{2} - 2x + 1 = 0$

Therefore, 2x² - 2x + 1 is the answer:-

Answer 2

see the attachment hope it helps