Given 25^2-10x=0, which values of x will satisfy the equation?
(Hint: Factor the polynomial into two terms, and find the values of x that will make each term 0.)
I suspect a typo, your wording indicates that it should have been a quadratic.
the way you have it ...
25^2 - 10x = 0
625 = 10x
x = 625/10 = 125/2 or 62.5
To solve the equation 25^2 - 10x = 0, we can first simplify 25^2 to obtain:
625 - 10x = 0
Next, we want to isolate x by moving the constant term to the other side of the equation. In this case, we add 10x to both sides:
625 = 10x
Now, we can divide both sides of the equation by 10 to solve for x:
625/10 = x
62.5 = x
So, the value of x that satisfies the equation is x = 62.5.