Question

find sum and product of roots of the quadratic polynomial x square minus 4 root 3 X + 9 is equal to zero​

Answer 1

Answer:

x sq - rt 3 x- 3 rt 3 x+9=0

x(x-rt 3)-3 rt 3(x-rt 3)=0

(x-3 rt 3)(x-rt 3)=0

x=3 rt 3, rt 3

sum=4 rt 3

product = 9

Step-by-step explanation:

Answer 2

$x ^{2} - 4 \sqrt{3}x + 9 = 0$

Sum of roots

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

= -(-4✓3)/1

= 4✓3

Product of roots

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

= 9/1

= 9