Question

Trying to solve:
x^2-11x+30=0

Answer 1

what pair of factors of 30 add to -11?

Answer 2

5 &6

Answer 3

Remember your signs.

Answer 4

(x+5)(x-6)

Answer 5

notice

5 times -6 = -30
5 plus -6 = -1

Answer 6

they need to go the other way around?

Answer 7

(x+6)(x-5)

Answer 8

Remember your signs.

Answer 9

What two values add up to 'negative' eleven. - 11

Answer 10

-6 + -5

Answer 11

Correct they are both negative now re-write your previous factoring

Answer 12

(x-6)(x-5)

Answer 13

Correct

Answer 14

Now you can set the 2 different terms equal to 0 separately and solve for x.

Answer 15

Another method you could use to solve a Quadratic Equation in the form
\[ax^2+bx+c = 0\]
Is the Quadratic Formula:
\[x =\frac{ -b \pm \sqrt{b^2-4ac} }{ 2a }\]

Answer 16

you dont have to go that far. lol
you can say that x = 6 and 5

Answer 17

thank you both