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Equation Calculator
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Equation Calculator (or) Equation Solver will help us to simplify the equations(Linear, Quadratic, Cubic, Biquadratic, etc) with respect to its given variable. Equation Calculator calculates the roots of the given equation. Try our Equation Calculator and get your problems solved instantly.

Step by Step Equation Solver

Step 1 :

Observe the given equation.

Step 2 :

Find the value of discriminant(D) by applying the formula D = b2 - 4ac.

Step 3 :

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 x1= $\frac{-b + \sqrt{D}}{2a}$ and x2 = $\frac{-b - \sqrt{D}}{2a}$

Problems on Equation Calculator

1. Calculate the roots of the equation: x2 + 6x + 8 = 0?

Step 1 :

Given equation: x2 + 6x + 8 = 0

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

Step 2 :

Discriminant(D) = b2 - 4ac

= (6)2 - 4(1)(8)

= 36 - 32

= 4

Step 3 :

x1= $\frac{-b + \sqrt{D}}{2a}$

x1= $\frac{-6 + \sqrt{4}}{2(1)}$

x1= $\frac{-6 + 2}{2}$

x1= $\frac{-4}{2}$

x1 = -2

and x2 = $\frac{-b - \sqrt{D}}{2a}$

and x2 = $\frac{-6 - \sqrt{4}}{2(1)}$

and x2 = $\frac{-6 - 2}{2}$

and x2 = $\frac{- 8}{2}$

and x2 = -4

x1 = -2 and x2 = -4

2. Calculate the roots of the equation: x2 + 9x + 8?

Step 1 :

Given equation: x2 + 9x + 8 = 0

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

Step 2 :

Discriminant(D) = b2 - 4ac

= (9)2 - 4(1)(8)

= 81 - 32

= 49

Step 3 :

x1= $\frac{-b + \sqrt{D}}{2a}$

x1= $\frac{-9 + \sqrt{49}}{2(1)}$

x1= $\frac{-9 + 7}{2}$

x1= $\frac{-2}{2}$

x1 = -1

and x2 = $\frac{-b - \sqrt{D}}{2a}$

and x2 = $\frac{-9 - \sqrt{49}}{2(1)}$

and x2 = $\frac{-9 - 7}{2}$

and x2 = $\frac{-16}{2}$

and x2 = -8