Question

please solve this activity ​

Answer 1

$\huge\underline\mathbb\red{Hola Mate !!}$

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

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

$\alpha + \beta = 1$

$\huge\underline\mathbb{And}$

$\alpha \beta = \frac{1}{2} \times \frac{1}{2 } \\ \alpha \beta = \frac{1}{4}$

$\huge\underline\mathbb{Required}$

$\huge\underline\mathbb{Quadratic}$

$\huge\underline\mathbb{Equation : - }$

x^2 - x + 1/4 = 0

4x^2 - 4x + 1 = 0

Answer 2

Hi Mate,

a=½, ß=½

a+ß = ½
aß = ½

The required quadratic equation is:
x² - (a+ß)x + aß
x² - (½)x + ½
x² - ½x + ½
½ (x² - ¼x + ¼)
=> x²- ¼x +¼.....(Answer)

Therefore, the correct answer is 'x² - ¼x + ¼'.

Good Day...!!