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x2+x+=0 Factor & Solve Step by Step How do I Factor Quadratic Equations? A Quadratic Function in Standard Form : In Factored Form it looks like this: where r,s are the 2 Zeros. When distributing we get: Matching the Coefficients shows that the 2 Zeros r and s have to fulfill the 2 conditions: 1) … Read more
How to Solve using the Quadratic Formula has the 2 solutions: Sample Problem: Solve the Quadratic Formula via Factoring What are the zeros of \( 2x^2+5x-3 \) ?It means solving the quadratic form equation \(2x^2+5x-3=0 \) .The fast way to solve the quadratic equation is by factoring which means to rewrite\( 2x^2+5x-3\) as \(2(x+p)*(x+q)\)Testing \(p=-3 … Read more
Examples: How to Factor a Quadratic Equation Example1: Factoring Quadratic Equations with leading coefficient a=1Let’s solve the Quadratic Equation \( x^2- 6x+8 = 0\) . The 2 zeros when multiplied have to equal 8. That could be 8 and 1 or 4 and 2, and their negatives. Additionally, they have to add to -6 which … Read more
y=*(x-)2+ Convert: Vertex to StandardForm [quads id=1] How do you convert from Vertex to Standard Form? The Vertex Form of a Parabola is where are the Vertex Coordinates. The Standard form of a Parabola is To obtain the Standard Form from the Vertex Form we use these steps: Example: To convert we first apply the … Read more
How to Solve using the Quadratic Formula has the 2 solutions: Sample Problem: Solve Quadratic Forms via Factoring To solve a quadratic form equation like \(2x^2+5x-3=0 \) we can either factor it or use the quadratic formula.Let’s try factoring first: we write \( 2x^2+5x-3\) as \(2(x+p)*(x+q)\)Testing \(p=-3 \) and \(q=.5 \) yields indeed \( 2x^2+5x-3 … Read more
x2+x+=0 Compute Discriminant with Steps [quads id=1] What you need to know about the Discriminant of a Quadratic Equation The Discriminant is the red part of the Quadratic Equation Solution Formula below: [quads id=2] Find the Discriminant of a Quadratic Equation What is the Discriminant of ?The coefficients are and . We plug those into … Read more
What are the 3 different Parabola Forms? Parabolas are the Graphs of Quadratic Equations. There are 3 different forms of Quadratic Equations: Standard Form: Vertex Form: . (h,k) = Vertex Coordinates. Factored Form: . r and s = Zeros of the Parabola. What are Examples of the 3 different Parabola forms? Standard Form: can be … Read more
How to Complete the Square The Quadratic Equation in Standard Form is \(\boxed{ y=x^2+bx+c }\) To Complete the Square we add and subtract \( \textcolor{blue}{({b \over 2})^2} \) which yields: \(\boxed{ y=x^2+bx+ \textcolor{blue}{({b \over 2})^2} + c – \textcolor{blue}{({b \over 2})^2} }\) Completing the Square yields: \(\boxed{ y=(x+b/2)^2 + c – ({b \over 2})^2 }\) … Read more
x2+x+=0 Do the Quadratic Equation with Steps How to Solve a Quadratic Equation has the 2 solutions: Sample Problem: How to solve a Quadratic Equation by Factoring What are the zeros of ?It means solving the quadratic equation .The fast way to solve the quadratic equation is by factoring which means to rewrite as Testing … Read more
y=x2+x+ Find Vertexform Step by Step How do I find the Vertex Form from the Standard Form? A Quadratic Equation in Standard Form is Its Vertex can be found from the above Standard Form using The Vertex Coordinates are plugged into the Vertex Form of a Parabola (see below) as h and k. It is … Read more