I'm assuming you are talking about this equation:
x = [ -b +|- sqrt ( b2 - 4ac ) ] / ( 2a )
where, ax^2 + bx + c = 0
The formula is called the quadratic formula. It is used when either factoring is too difficult/tedious or for complex numbers.
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Let's solve this equation together, friend. To isolate b, we can start by subtracting 2a from both sides of the equation. This will leave us with b equals P minus 2a. Remember, there are many ways to approach a problem, and it's all about finding the one that works best for you.
The question refers to the equation of a parabola, that is, a quadratic equation of the form y = ax2 + bx + c. Suppose x1 = -b/2a - z and x2 = -b/2a + z for some real number z. Then y1 = a*(-b/2a - z)2 + b*(-b/2a - z) + c = b2/4a + bz + az2 - b2/2a - bz + c = b2/4a + az2 - b2/2a + c and y2 = (-b/2a + z)2 + b*(-b/2a + z) + c = b2/4a - bz + az2 - b2/2a + bz + c = b2/4a + az2 - b2/2a + c So y1 = y2 thus, if x is the same distance (z) either side of -b/2a, then the corresponding y values are the same. And that, is what a line of symmetry means.
2a = b Is an example of an equation with linear dependence between the variable a and b (b is twice a)If you know any a you can find the bIf you graph this equation with a on one axis and b on the other (perpendicular) you will get a straight line
-b + or - the square root of b squared - 4ac over/divided by 2a
a-^2a-b^-a-b