MarkFL said:Consider the general quadratic:
\(\displaystyle ax^2+bx+c\)
If this quadratic is to have real roots, then the discriminant has to be non-negative, that is:
\(\displaystyle b^2-4ac\ge0\)
What do you get when you apply this rule to the quadratic you posted?
RTCNTC said:Are you talking about the discriminant?
MarkFL said:Yes, the discriminant is what's under the radical in the quadratic formula, and it cannot be negative if the roots ore real. :D
RTCNTC said:I plug a = 8, b = 4 and c = n into b^2 - 4ac and equate to 0, right?
MarkFL said:You want to set the discriminant greater than or equal to zero, since you don't want it to be negative. If the discriminant is equal to zero, then you will have a repeated root, or a root of multiplicity 2. If the discriminant is greater than zero, then you will have two distinct roots.
To put this in graphical terms, when the discriminant is zero, then the parabola will be tangent to the $x$-axis, that is, the parabola will only touch the $x$-axis at one point. If the discriminant is greater than zero, then the parabola will cross the $x$-axis at two points, and if the discriminant is negative then the parabola will not touch the $x$-axis at all.
The purpose of "Find the Value of n" is to determine the numerical value of the variable n in a given equation or problem.
Finding the value of n is important because it allows scientists to solve equations and problems accurately, and to understand the relationship between variables in a scientific experiment or study.
Some common strategies for finding the value of n include substitution, manipulation of equations, and using algebraic rules and principles.
Some common mistakes when finding the value of n include incorrect substitution, not following the correct order of operations, and making algebraic errors.
To improve your skills in finding the value of n, you can practice solving various types of equations and problems, seek help from a tutor or teacher, and review any mistakes made to better understand the process.