Algebra # Quadratic Form Calculator

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When finding the zeros its 2 solutions can be found by applying the famous quadratic formula:

To solve **2x²+5x-3=0 **using the Quadratic Formula we enter the coefficients **a=2, b=5** and **c=-3** into the above formula to get

Simplification yields

Since 25+24=49 we have

The Square Root of 49 is known to be 7

One solution is found by adding 7 , the second solution by subtracting 7

Simplifying both fractions finally yields the 2 real solutions

These two solutions can be verified by plugging them back into the given above Quadratic Equation.

For visual learners please watch the video below on how to Solve a Quadratic Form:

You may use our Quadratic Form Calculator below to solve your own exercises.

(a) We transform it into Standard Form to use the above Quadratic Formula again.

Example:

Expanding yields:

Distributing 2 yields:

Since

We finally have

We again use the above Quadratic Formula to arrive at the 2 solutions

(b) Alternatively, we simply use Algebra and square roots to find the 2 solutions to

Add 49/8:

Divide by 2:

Square Roots:

Thus,

The 2 solutions are of course

and

First, convert to Standard form next use Algebra.

DON’T CONTINUE READING UNTIL DONE.

We first apply the binomial formula to expand and get

With 4-9=-5 we finally arrive at the Standard Form:

Solving using the Quadratic Formula yields:

We created a separate page for you that teaches the Vertex to Standard Form Conversion. It also has a Solver that allows you convert you Vertex Form Equation into Standard Form. Visit our page here.

Below, you may use our Vertex to Standard Form Converter.

Finally, learn the Quadratic Form Song to never forget the formula again. Pop goes the weasel. Have fun 😉

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