Question

if alfa and beta are two zeroes of the quadratic polynomial p(x) =2xsquare-3x+7 find (i) 1/alfa+1/beta (ii) alfa square+ beta square.

achi hu choti :)tum kaisi ho..!​

Answer 1

$\huge{\mathfrak{\dag{\underline{\red{A{\green{n{\orange{s{\blue{w{\pink{e{\purple{r}}}}}}}}}}}}}}}$

p(x) = 2x² - 3x + 7

a = 2 ; b = -3 ; c = 7

α + ß = -b/a = 3/2

αß = c/a = 7/2

(i)

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

$\frac{ \frac{3}{2} }{ \frac{7}{2} } = \frac{3}{2} \times \frac{2}{7} = \frac{3}{7}$

(ii)

α² + ß² = (α+ß)² - 2αß

$= {( \frac{3}{2}) }^{2} - 2 \times \frac{7}{2} = \frac{9}{4} - 7$

$= \frac{9 - 28}{4} = \frac{ - 19}{4}$

Answer 2

Eppie bday phil se..xd

Rupan dii ki trf se be teko happy vala birthday