Question

5. Find the solutions of x^2 – X-30 = 0.

please show work on how to do it

Answer 1

x=6, x= -5

Explanation:

Factor the equation

x^2 - x - 30 = 0 ----> (x-6)(x+5)=0

Next find the solution by setting those in the paranthesis equal to zero.

x-6=0 ----> x= 6

x+5=0 ----> x= -5

Answer 2

Explanation:

`{x}^(2) - x - 30 = 0`

➡️
`{x}^(2) + 5x - 6x - 30 = 0`

➡️
`x * (x + 5) - 6(x + 5) = 0`

➡️
`(x + 5) * (x - 6) = 0`

➡️
`x + 5 = 0`

➡️
`x - 6 = 0`

➡️
`x = - 5`

➡️
`x = 6`

➡️
`x_(1) = - 5. \: x_(2) = 6`