Question

Find the difference of roots of the quadratic equation *
2 points
x2-7x+9=0​

Answer 1

Step-by-step explanation:

ANSWER

Quadratic equation is x

2

−7x−9.

a+β=7,aβ=−9

(a−β)

2

=(a+β)

2

−4aβ=49+36=85

or a−β=

85

Answer 2

Answer:

- √13  

Step-by-step explanation:

x² - 7x + 9 = 0

D = (- 7)² - 4(1)(9) = 13 = (√13)²

$x_{1}$ = (7 - √13) / 2

$x_{2}$ =  (7 + √13) / 2

$x_{2}$ - $x_{1}$ = - √13