5x^2-25x=125 solve by completeing the square

x = 10, -15

Step-by-step explanation:

We can start right away by dividing both sides of our equation by 5 to get the reduced form .

To "complete the square," or turn the left side of the equation into something we can factor into a perfect square, it helps to remember that for any binomial x - a:

To "complete" our square, we'll need to add an a² to either side of the equation. To find a, we can set 5x = 2ax and solve:

Let's add that a² to both sides and simplify!

Now we're ready to solve for both value of x:

So our solutions are x = 10 and x = -15

b. x + 1

step-by-step explanation:

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