What are the solutions to the quadratic equation x2 16 0 quizlet?
A. The only solution of the equation x2 + bx + 16 = 0 is x = 4.
What is a quadratic equation with 2 solutions?
It is called the Discriminant, because it can “discriminate” between the possible types of answer: when b2 − 4ac is positive, we get two Real solutions. when it is zero we get just ONE real solution (both answers are the same) when it is negative we get a pair of Complex solutions.
Why do you set a quadratic equation equal to zero?
you might have noticed that when we want to solve any equation, we tend to set it equal to zero. This is because of the zero product property. The property states that if ,then either or (or both).
What are the solutions to the quadratic equation 4×2 64?
Answer and Explanation: The solutions to the quadratic equation 4×2 = 64 are x = 4 and x = -4.
What is the first step in solving the quadratic equation x2 9/16 quizlet?
take the square root of both sides of the equation. add 9/16 to both sides of the equation.
How do you tell if a quadratic has no solution?
If you get a positive number, the quadratic will have two unique solutions. If you get 0, the quadratic will have exactly one solution, a double root. If you get a negative number, the quadratic will have no real solutions, just two imaginary ones.
Why do we solve quadratic equations?
The equation is used to find shapes, circles, ellipses, parabolas, and more. It also used to design any object that has curves and any specific curved shape needed for a project. The military uses the quadratic equation when they want to predict where artillery shells hit the earth or target when fired from cannons.
What is the point of quadratic equations?
Quadratic equations are actually used in everyday life, as when calculating areas, determining a product’s profit or formulating the speed of an object. Quadratic equations refer to equations with at least one squared variable, with the most standard form being ax² + bx + c = 0.
How do you set a zero to a function?
What is the zero of a function?The zero of a function is the x-value that, when plugged into a function, makes the function equal to 0.f(x) means that we have a function of x.The zero of the function f(x)=2x-2 is the x-value that makes f(x) = 0.So we can just set the function equal to 0, and then solve for x!
What are the roots of a quadratic equation?
The roots of a function are the x-intercepts. By definition, the y-coordinate of points lying on the x-axis is zero. Therefore, to find the roots of a quadratic function, we set f (x) = 0, and solve the equation, ax2 + bx + c = 0.
What are the zeros of an equation?
A root or a zero of a polynomial are the value(s) of X that cause the polynomial to = 0 (or make Y=0). It is an X-intercept. The root is the X-value, and zero is the Y-value. It is not saying that imaginary roots = 0.