You can
put this solution on YOUR website!The answer is 600.
The equations used are:
x^2 = y - 24
(x+1)^2 = y + 25
You set:
y = x^2 + 24
y = (x+1)^2 - 25
Then you set:
x^2 + 24 = (x+1)^2 - 25
because they both equal y so they are equal to each other.
You solve for x.
The x^2 cancels out as shown below:
(x+1)^2 - x^2 = 49
This becomes:
x^2 + 2x + 1 - x^2 = 49
The x^2 cancels out so the equation becomes:
2x + 1 = 49
Subtract 49 from both sides to get:
2x - 48 = 0
The general form of a quadratic equation is:
ax^2 + bx + c
This means that:
a = 0
b = 2
c = -48
The discriminant is b^2 - 4ac
This becomes 2^2 - 4*0*-48 which becomes:
4
Unfortunately, since a = 0, the whole quadratic formula becomes:
-b +/- sqrt (b^2-4ac) / 2a
Since a = 0, this means the solution is undefined.
I'm not sure what they were trying to tell you here.
Your equation is a straight line, not a quadratic equation, because the x^2 term canceled out.
You have one solution and one solution only, but it is not a quadratic equation.
The answer becomes x = 24
24^2 = 576 + 24 = 600
25^2 = 625 - 25 = 600
The discriminant is described
here !!!!!
