Equations Calculator

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When a quantity (y-value) is dependent on a variable (x-value), the relationship shared between these two values forms an Equation. In any equation, the variable is solved to get the roots or the solutions of the equation and Equations calculator is a tool which can easily solve for the values of the variable with any exponent (linear, quadratic, cubic etc.).

Example1: Find the solution of the equation, 3x – 5 = 4.

Given equation, 3x – 5 = 4 is called a ‘Linear equation’ since the highest ‘exponent’ or

‘power’ of ‘x’ in the equation is ‘1’.

So 3x – 5 = 4

By adding ‘5’ on both sides we get 3x = 4 + 5 è 3x = 9

Now we want ‘x’ all by itself so we get rid of ‘3’ by dividing ‘3’ on both sides!

(3x/3) = (9/3) x = 3

Example 2: Solve the given equation to find its roots, x² – 5x + 6 = 0

Since highest exponent of ‘x’ is ‘2’, it’s a‘Quadratic equation’

Using the Quadratic formula to solve this equation,

x = [-b +-(√b²-4ac)] / 2a

We know, a = 1; b = -5 and c = 6

Plug-in the values to get x = [5 +- √ (25-24)] / 2

x = (5 +- 1) /2

x = 6/2 or x = 4/2

x = 3 or x = 2

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