Algebraic Equation Solver

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Algebraic equation solvers will help us to find out the solution to the quadratic equation. To find out the equation of the algebraic expression we need to follow steps.

1)    Multiply coefficient of x^2 with the constant. That is a with c.

2)    Now find out the factors of ac.

3)    Now choose the factors which if we add or subtract is equals to b.

4)    Split the equation according to the factors and then take common in the fist two and the last two terms.

5)    Now equate the common terms with zero and find out the values of x.

Now let us discuss the algebraic equation solver with some of the examples.

Example 1: Find out the roots of x^2 - x + 2 = 0.

Solution: The equation is x^2 - x + 2 = 0.

Now multiply 1 with 2 then we will get it as (1) (2) = 2.

Multiples of 2 are 1 and -2.

Now we can write it as x^2 + x – 2x – 2 = 0 which is equal to x (x + 1) -2 (x + 1) = 0 (x + 1) (x – 2) = 0

so x = -1, 2.

Example 2: find out the roots of x^2 + 9x + 8 = 0.

Solution: The equation is x^2 + 9x + 8 = 0.

Now multiply 1 by 8 which equals 8.

Now the multiples of 8 are 8, 1.

Now we can write it as x^2 + x + 8x + 8 = 0

Now take x (x + 1) + 8 (x + 1)

= 0 (x + 1)(x + 8) = 0

so x = -1, -8.
 
 

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