Question

(20 POINTS) Please show all of your work.


Solve.

x^2+5x-6=0

Answer 1

x = -6 or 1

Explanation:

x² + 5 x - 6 = 0

Factors = -6 , 1

Sum = 5

Product = -6

x ( x + 6 ) - 1 ( x + 6 ) = 0

( x + 6 ) ( x - 1 )

x + 6 = 0

x = -6

x - 1 = 0

x = 1

Answer 2

x = -6 or x = 1

Explanation:

`x^2+5x-6=0\\\\x^2+6x-x-6=0\\\\x(x+6)-1(x+6)=0\\\\(x+6)(x-1)=0\iff x+6=0\ \vee\ x-1=0\\\\x+6=0\qquad\text{subtract 6 from both sides}\\x=-6\\\\x-1=0\qquad\text{add 1 to both sides}\\x=1`