Equation Calculator

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**Equation Calculator** (or) **solution set calculator**** **will help us to simplify the equations (Linear, Quadratic, Cubic, Biquadratic, etc) with respect to its given variable. It is a** ****Equation Solver** **with steps ** that calculates the roots of the given equation and plots the value on graph. Try our rearranging equations calculator (**variable Calculator**) and get your problems solved instantly.

You can see a default equation with respect to its variable given below. When u click on "Calculate", first the calculator calculates the discriminant and then find the roots of the equation by applying the appropriate formula given in the steps below.

**Step 1 :**

**Step 2 :**

**Step 3 :**

You can see a default equation with respect to its variable given below. When u click on "Calculate", first the calculator calculates the discriminant and then find the roots of the equation by applying the appropriate formula given in the steps below.

Observe the given equation.

Find the value of discriminant(D) by applying the formula D = b^{2} - 4ac.

If the value of discriminant(D) is less than zero, write "roots does not exist (or) imaginary. And if discriminant is greater or equal to zero, then find the roots of an equation by applying the formula x_{1}= $\frac{-b + \sqrt{D}}{2a}$ and x_{2} = $\frac{-b - \sqrt{D}}{2a}$

Calculate the roots of the equation: x

^{2}+ 6x + 8 = 0?**Step 1 :**Given equation: x

^{2}+ 6x + 8 = 0

So, a = 1, b = 6 and c =8

**Step 2 :**Discriminant(D) = b

^{2}- 4ac

= (6)

^{2}- 4(1)(8)

= 36 - 32

= 4

**Step 3 :**x

_{1}= $\frac{-b + \sqrt{D}}{2a}$

x

_{1}= $\frac{-6 + \sqrt{4}}{2(1)}$

x

_{1}= $\frac{-6 + 2}{2}$

x

_{1}= $\frac{-4}{2}$

x

_{1}= -2

and x

_{2}= $\frac{-b - \sqrt{D}}{2a}$

and x

_{2}= $\frac{-6 - \sqrt{4}}{2(1)}$

and x

_{2}= $\frac{-6 - 2}{2}$

and x

_{2}= $\frac{- 8}{2}$

and x

_{2}= -4**Answer :**x

_{1}= -2 and x_{2}= -4Calculate the roots of the equation: x

^{2 }+ 9x + 8?**Step 1 :**Given equation: x

^{2 }+ 9x + 8 = 0

So, a = 1, b = 9 and c =8

**Step 2 :**Discriminant(D) = b

^{2}- 4ac

= (9)

^{2}- 4(1)(8)

= 81 - 32

= 49

**Step 3 :**x

_{1}= $\frac{-b + \sqrt{D}}{2a}$

x

_{1}= $\frac{-9 + \sqrt{49}}{2(1)}$

x

_{1}= $\frac{-9 + 7}{2}$

x

_{1}= $\frac{-2}{2}$

x

_{1}= -1

and x

_{2}= $\frac{-b - \sqrt{D}}{2a}$

and x

_{2}= $\frac{-9 - \sqrt{49}}{2(1)}$

and x

_{2}= $\frac{-9 - 7}{2}$

and x

_{2}= $\frac{-16}{2}$

and x

_{2}= -8

**Answer :**x

_{1}= -1 and x_{2}= -8