Question

X2−25x+125=11 Which equation reveals the solutions of the equation?

Answer 1

To find the equations that reveal the solution of the equation
`x^2-25x+125=11`, we are going to set the equation equal to 0 and solve for
`x`:

Step 1. Subtract 11 to both sides of the equation

`x^2-25x+125-11=11-11`

`x^2-25x-114=0`

Step 2. Factor the left hand side of the equation

`x^2-25x-114=0`

`(x-6)(x-19)=0`

Step 3. Set each factor equal to zero and solve for
`x`

`x-6=0` and
`x-19=0`

`x=6` and
`x=19`

We can conclude that the equations that reveal the solution of the equation
`x^2-25x+125=11` are
`x=6` and
`x=19`