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Is it possible for two different quadratic equations to have the same roots?
yes
Can a system of two quadratic equations have two solutions?
Yes. It can have 0, 1, or 2 solutions.
Do you agree that quadratic equations has at most two solutions?
Yes and sometimes the two solutions are equal
Most quadric equations have?
A quadratic equation can have two real solutions, one real solution, or two complex solutions, none of them real.
How do you find a gradient of a linear equation if you are told that it is a tangent to another quadratic equation?
Solve the two equations simultaneously for x. You will probably need the y value as well.Differentiate the quadratic equation.Find the value of the derivative when you substitute the value for x (from step 1) into the derivative.That is the gradient.Solve the two equations simultaneously for x. You will probably need the y value as well.Differentiate the quadratic equation.Find the value of the derivative when you substitute the value for x (from step 1) into the derivative.That is the gradient.Solve the two equations simultaneously for x. You will probably need the y value as well.Differentiate the quadratic equation.Find the value of the derivative when you substitute the value for x (from step 1) into the derivative.That is the gradient.Solve the two equations simultaneously for x. You will probably need the y value as well.Differentiate the quadratic equation.Find the value of the derivative when you substitute the value for x (from step 1) into the derivative.That is the gradient.
Most quadratic equations have?
two solutions
Most quadratic equations have what?
Two solutions
What are the two solutions for quadratic equations?
Quadratic curves only have two solutions when the discrimant is greater than or equal to zero.
Is it possible for two different quadratic equations to have the same roots?
yes
Why quadratic equations have two solutions?
If the discriminant of b2-4ac of the quadratic equation is greater the 0 then it will have 2 solutions.
Why are there usually two solutions to a quadratic equation?
In the graph of a quadratic equation, the plotted points form a parabola. This parabola usually intersects the X axis at two different points. Those two points are also the two solutions for the quadratic equation. Alternatively: Quadratic equations are formed by multiplying two linear equations together. Each of the linear equations has one solution - multiplying two together means that the solution for either is also a solution for the quadratic equation - hence you get two possible solutions for the quadratic unless both linear equations have exactly the same solution. Example: Two linear equations : x - a = 0 x - b = 0 Multiplied together: (x - a) ( x - b ) = 0 Either a or b is a solution to this quadratic equation. Hence most often you have two solutions but never more than two and always at least one solution.
Can a system of two quadratic equations have two solutions?
Yes. It can have 0, 1, or 2 solutions.
Do you agree that quadratic equations has at most two solutions?
Yes and sometimes the two solutions are equal
What are the pros and cons of the quadratic equation?
Pros: There are many real life situations in which the relationship between two variables is quadratic rather than linear. So to solve these situations quadratic equations are necessary. There is a simple equation to solve any quadratic equation. Cons: Pupils who are still studying basic mathematics will not be told how to solve quadratic equations in some circumstances - when the solutions lie in the Complex field.
Most quadric equations have?
A quadratic equation can have two real solutions, one real solution, or two complex solutions, none of them real.
How do you find a gradient of a linear equation if you are told that it is a tangent to another quadratic equation?
Solve the two equations simultaneously for x. You will probably need the y value as well.Differentiate the quadratic equation.Find the value of the derivative when you substitute the value for x (from step 1) into the derivative.That is the gradient.Solve the two equations simultaneously for x. You will probably need the y value as well.Differentiate the quadratic equation.Find the value of the derivative when you substitute the value for x (from step 1) into the derivative.That is the gradient.Solve the two equations simultaneously for x. You will probably need the y value as well.Differentiate the quadratic equation.Find the value of the derivative when you substitute the value for x (from step 1) into the derivative.That is the gradient.Solve the two equations simultaneously for x. You will probably need the y value as well.Differentiate the quadratic equation.Find the value of the derivative when you substitute the value for x (from step 1) into the derivative.That is the gradient.
What does quadratic equations using the factoring method means?
It means you are required to "solve" a quadratic equation by factorising the quadratic equation into two binomial expressions. Solving means to find the value(s) of the variable for which the expression equals zero.
