Question

What is the solution set of the equation X squared + 3x-4=6?

Answer 1

Answer:x=2

Explanation:

x^2+3x-4=6

2x+3x-4=6

add 2x and 3x and you get 5x

5x-4=6

add 4 to both sides 6 plus 4 is 10

5x=10

know divide 5 from both sides and you get 2

x=2

Answer 2

x = 2 or x = -5

Explanation:

x² + 3x - 4 = 6

x² + 3x -4 - 6 = 0

x² + 3x - 10 = 0 (Here you find two numbers that have a sum of 3 and a product of -10. These two numbers would be 5 and -2. 5 - 2=3 and 5×-2 =-10.)

x² + 5x - 2x -10 = 0 (They you replace 3x by 5x and -2x)

(x² + 5x) (-2x -10) =0 - (You find common terms)

x(x + 5) -2(x + 5) = 0

(x - 2) (x + 5) = 0

So

x - 2 = 0 or x + 5 = 0

x =2 x = -5