Question

fill in the blank
the sum of the roots of the equation x square - 6x + 2 = 0

Answer 1

Answer:

6

Step-by-step explanation:

x² - 6x + 2

a = 1, b = -6, c = 2.

Sum of roots = -b/a = -(-6)/1 = 6.

Answer 2

With the help of D formula :

${x}^{2} - 6x + 2 = 0$

$D= \: { b}^{2} - 4ac$

$= {6}^{2} - 4 \times 1 \times 2$

$36 - 8 \\ = 28$

now for positive root:

$x_1$

$x_1 = \frac{ - b \: + \sqrt{D } }{2a}$

$x_1 = \frac{ - 6 + \sqrt{28} }{2}$

$x_1 = \frac{ - 6 + 5.29}{2} = 8.29$

${\large{\bold{\tt{\green {\boxed {8.29}}}}}}$

for negative roots:

$x_2 = \frac{ - 6 - 5.29}{2} \\ = - \frac{11.29}{2} = - 564.3$

${\large{\bold{\tt{\pink {\boxed {5.643}}}}}}$