Because the solutions are found on the x axis when y is zero.
When you graph the quadratic equation, you have three possibilities... 1. The graph touches x-axis once. Then that quadratic equation only has one solution and you find it by finding the x-intercept. 2. The graph touches x-axis twice. Then that quadratic equation has two solutions and you also find it by finding the x-intercept 3. The graph doesn't touch the x-axis at all. Then that quadratic equation has no solutions. If you really want to find the solutions, you'll have to go to imaginary solutions, where the solutions include negative square roots.
You are finding the roots or solutions. These are the values of the variable such that the quadratic equation is true. In graphical form, they are the values of the x-coordinates where the graph intersects the x-axis.
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Infinite solutions refer to a situation in mathematics, particularly in solving equations or systems of equations, where there are countless solutions that satisfy the given conditions. This typically occurs when the equations are dependent and represent the same geometric entity, such as lines or planes that overlap completely. In practical terms, it means that instead of finding a unique solution, any point along a certain line or surface can be a valid answer.
It is finding the values of the variable that make the quadratic equation true.
Because it's part of the quadratic equation formula in finding the roots of a quadratic equation.
When you graph the quadratic equation, you have three possibilities... 1. The graph touches x-axis once. Then that quadratic equation only has one solution and you find it by finding the x-intercept. 2. The graph touches x-axis twice. Then that quadratic equation has two solutions and you also find it by finding the x-intercept 3. The graph doesn't touch the x-axis at all. Then that quadratic equation has no solutions. If you really want to find the solutions, you'll have to go to imaginary solutions, where the solutions include negative square roots.
You are finding the roots or solutions. These are the values of the variable such that the quadratic equation is true. In graphical form, they are the values of the x-coordinates where the graph intersects the x-axis.
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Finding the point of intersection using graphs or geometry is the same as finding the algebraic solutions to the corresponding simultaneous equations.
A quadratic function is a function where a variable is raised to the second degree (2). Examples would be x2, or for more complexity, 2x2+4x+16. The quadratic formula is a way of finding the roots of a quadratic function, or where the parabola crosses the x-axis. There are many ways of finding roots, but the quadratic formula will always work for any quadratic function. In the form ax2+bx+c, the Quadratic Formula looks like this: x=-b±√b2-4ac _________ 2a The plus-minus means that there can 2 solutions.
Infinite solutions refer to a situation in mathematics, particularly in solving equations or systems of equations, where there are countless solutions that satisfy the given conditions. This typically occurs when the equations are dependent and represent the same geometric entity, such as lines or planes that overlap completely. In practical terms, it means that instead of finding a unique solution, any point along a certain line or surface can be a valid answer.
Algebra I is based on the basic principles of arithmetic, but also adds symbols, such as letters. Solving and finding solutions for equations are common tasks in Algebra I.
you use difference of squaresex. X^2-4 can be factored out to (x+2)(x-2)you now have the zeros in your equation much easier
A quadratic equation that contains a perfect square trinomial can be expressed in the form ( ax^2 + bx + c = 0 ), where the trinomial can be factored as ( (px + q)^2 ). This means that the equation can be written as ( a(px + q)^2 = 0 ), leading to solutions derived from ( px + q = 0 ). Examples include equations like ( x^2 + 6x + 9 = 0 ) or ( 4x^2 - 12x + 9 = 0 ). In these cases, the perfect square trinomial allows for straightforward factoring and finding of roots.
It is finding the values of the variable that make the quadratic equation true.
find equation of the line. write equation in slope intercept form. (5,5) parallel line (3,13) and (12,13)