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Factoring can sometimes give you easy answers to quadratics. Look at the following example: x2 + x - 2 = 0 Now let's factor it: (x - 1)(x + 2) = 0 Now, think back to elementary multiplication. Zero times anything is equal to zero. If we keep this in mind, we know that when we have a quadratic like the equation above, we only need to get one of the sections to equal zero. Once we find a value of x which results in one part being zero, it will multiple through and make the entire side equal to zero. So let's look back at each part of our example. (x - 1) To get this to equal zero, we need to set x = 1 (x + 2) To get this to equal zero, we need to set x = -2 So now we have our answer: x can be either 1 or -2 to solve the equation. Nice and simple, because we started out by factoring the equation.
What else can I help you with?
How do you solve a quadratic equation that will not factor?
How you solve an equation that doesn't factor is to plug a quadratic equation's format; ax2+bx+c into the quadratic formula which is x=-b+square root to (b2-4ac)/2a.
How do you solve a quadratic equation graphically?
The roots of the quadratic equation are the x-intercepts of the curve.
How do you formulate quadratic equation that can be solve by extracting square roots?
By using the quadratic equation formula
2x square plus 11x plus 5 equals?
The given expression is a quadratic equation. To find its solutions, we can either factor the equation or use the quadratic formula. However, without an equation to solve or any context, it is not possible to provide a numeric answer.
How do you solve quadratic functions step by step?
There are different methods of using quadratic functions depending on the equation.
What is the quadratic equation used for?
It is used to solve quadratic equations that cannot be factored. Usually you would factor a quadratic equation, identify the critical values and solve, but when you cannot factor you utilize the quadratic equation.
How do you solve a quadratic equation that will not factor?
How you solve an equation that doesn't factor is to plug a quadratic equation's format; ax2+bx+c into the quadratic formula which is x=-b+square root to (b2-4ac)/2a.
What is the step-by-step procedure for solving a quadratic equation using the keyword "factoring"?
To solve a quadratic equation using factoring, follow these steps: Write the equation in the form ax2 bx c 0. Factor the quadratic expression on the left side of the equation. Set each factor equal to zero and solve for x. Check the solutions by substituting them back into the original equation. The solutions are the values of x that make the equation true.
How do you solve a quadratic equation graphically?
The roots of the quadratic equation are the x-intercepts of the curve.
Solve x2 - 8x plus 32?
x2 - 8x + 32 = 0 (assuming)you can factor or use the quadratic equation.I recommend the quadratic equation.
How do you formulate quadratic equation that can be solve by extracting square roots?
By using the quadratic equation formula
What is the quadratic formula for?
The quadratic formula is used to solve the quadratic equation. Many equations in which the variable is squared can be written as a quadratic equation, and then solved with the quadratic formula.
The quadratic formula cannot be used to solve an equation if the coefficient of the equation's x2-term is?
The quadratic formula cannot be used to solve an equation if the coefficient of the equation's x2-term is 0.
What is the quadratic formula cannot be used to solve an equation if the coefficient of the equation x square term is?
The quadratic formula cannot be used to solve an equation if the coefficient of the equation x square term is what?
Why do you use square roots to solve quadratic equations?
Because it's part of the quadratic equation formula in finding the roots of a quadratic equation.
The quadratic formula can be used to solve an equation only if the highest degree in the equation is?
The quadratic formula can be used to solve an equation only if the highest degree in the equation is 2.
Why can't an equal 0 in a quadratic equation?
a is the coefficient of the x2 term. If is a = 0, then it is no longer a quadratic - it is just a linear equation, and the quadratic formula will not work to solve it.
