b^2 – 4ac
That depends on the equation.
Without an equality sign the given expression can't be considered to be an equation but if it equals 0 then using the quadratic equation formula will give its solutions.
In mathematics, a quadratic equation is a polynomial equation of the second degree. The general form is Where x represents a variable, and a, b, and c, constants, with a ≠ 0. (If a = 0, the equation becomes a linear equation.) The constants a, b, and c, are called respectively, the quadratic coefficient, the linear coefficient and the constant term or free term. The term "quadratic" comes from quadratus, which is the Latin word for "square." Quadratic equations can be solved by factoring, completing the square, graphing, Newton's method, and using the quadratic formula (given below). One common use of quadratic equations is computing trajectories in projectile motion. Because it is in the form of ax^2+bx+c=0
If you have a quadratic equation and there is no x to put into the equation to get zero. The graph is like a U that is above the x axis or a cap that is below the x axis.
True
I gotchu homie: It's The equation has x = 4 and x = -4 as its only solutions.
There are none. For this equation, there is nonreal answer, as the graph of the quadratic does not pass below the x-axis
To solve the equation x^2 + 7x - 80, you would get x = 6.105 and x = -13.105, I believe.
52-4*7*1 = -3 The discriminant is less than zero so the quadratic equation will have no solutions.
Whether or not a function has zeros depends on the domain over which it is defined.For example, the linear equation 2x = 3 has no zeros if the domain is the set of integers (whole numbers) but if you allow rational numbers then x = 1.5 is a zero.A quadratic function such as x^2 = 2 has no rational zeros, but it does have irrational zeros which are sqrt(2) and -sqrt(2).Similarly, a quadratic equation need not have real zeros. It will have zeros if the domain is extended to the complex field.In the coordinate plane, a quadratic without zeros will either be wholly above the horizontal axis or wholly below it.
The related link below illustrates 3 ways of drawing a curve. The techniques are easily adapted to a quadratic curve.
See related link below for a very good explanation