Question

find the quadratic equation alpha + beta is equals to root 3 alpha beta is equal to one upon two
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Answer 1

Answer:

Polynomial=

$k(x {}^{2} - sx + p)$

S=Sum of zeroes

Sum of zeroes=

$\alpha + \beta$

$\alpha + \beta = \sqrt{3}$

P=Product

Product=

$\alpha \beta$

$\alpha \beta = 1 \div 2$

Polynomial=

$k(x {}^{2} - \sqrt{3} x + 0.5)$

Let k=1

So,

$x {}^{2} - \sqrt{3} x + 0.5$

Hope it will help