The discriminant of the quadratic equation is used to find the nature of the roots. If the discriminant is positive, then the roots (zeros) of the quadratic equation will be real and distinct. The discriminant of the equation will be negative if the roots are ima...
For quadratic equation ax^2+bx+c=0 (a ≠0), its solution(s) can be found using the formula below: 0 2 number of solutions 解的个数 判断二次方程解的个数,我们可以使用求根公式中的b^2-4ac的取值大小来决定,这个表达式我们...
More formally, a quadratic equation is an equation of the form $$y = ax^2 + bx + c $$ where {eq}a \neq 0 {/eq}, andbandcare both real numbers. Note that if {eq}a=0 {/eq}, then the {eq}x^2 {/eq} term vanishes entirely, and the equation is no longer quadratic. This...
When there is 1 intersection point of the graph with the x-axis, there is 1 solution to the quadratic equation.When there are no intersection points of the graph with the x-axis, we get not real solutions (or 2 complex solutions)....
A quadratic equation can have 0 (no real solutions), 1, or 2 solutions.Answer and Explanation: The solutions of a quadratic equation represent the x-intercepts of a parabola. For a quadratic equation in the form ax2+bx+c=0,...
The quadratic equation has only one root when Δ = 0. The solution is equal tox = -B/2A. It is sometimes called a repeated or double root. The quadratic equation has no real solutions for Δ < 0. You can also graph the functiony = Ax² + Bx + C. Its shape is a parabola, ...
We may also treat this type of solution as unreal, stating that no real solutions exist for this equation, by writing DNE. We will study complex numbers more thoroughly in a later module.Using the Quadratic FormulaThe fourth method of solving a quadratic equation is by using the...
What is a quadratic equation? ax2+bx+c=0 Can a quadratic equation have no real solutions? Yes, when the discriminant, there are no real solutions—only complex ones. How accurate are online quadratic calculators? Most online calculators are highly accurate as they use precise mathematical algori...
Our solution: the two points are(1,3)and(6,13) I think of it as three stages: Combine into Quadratic Equation ⇒ Solve the Quadratic ⇒ Calculate the points Solutions There are three possible cases: Noreal solution (happens when they never intersect) ...
Step 4Factor the completed square and combine the numbers on the right-hand side of the equation. Step 5Find the square root of each side of the equation. Step 6Solve for x and simplify. If step 5 is not possible, then the equation has no real solution. ...