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Calculation No.: Calc-001
Revision: A
Description:
Created By: Engineer Name
Project: Project Name
Project No.: P001
Client: Client Name

Input Parameters

The following coefficients define the quadratic equation ax² + bx + c = 0:
Parameter Symbol Value Notes
Coefficient a a 1 Coefficient of x²
Coefficient b b -3 Coefficient of x
Coefficient c c 2 Constant term

Discriminant

The discriminant determines the nature of the roots.

Formula: $$ \Delta = - 4 \times a \times c + b^{2} = - 4 \times 1 \times 2 + -3^{2} = 1 $$

Root 1

First root using the quadratic formula.

Formula: $$ x_{1} = \frac{- b + \sqrt{- 4 \times a \times c + b^{2}}}{2 \times a} = \frac{- -3 + \sqrt{- 4 \times 1 \times 2 + -3^{2}}}{2 \times 1} = 2 $$

Root 2

Second root using the quadratic formula.

Formula: $$ x_{2} = \frac{- b - \sqrt{- 4 \times a \times c + b^{2}}}{2 \times a} = \frac{- -3 - \sqrt{- 4 \times 1 \times 2 + -3^{2}}}{2 \times 1} = 1 $$

Summary of Results

Below is the summary of calculated values:
Parameter Symbol Value Notes
Discriminant Δ 1 Discriminant
Root 1 x1 2 First root
Root 2 x2 1 Second root

Approval:

This calculation has been reviewed and approved by:
Created By
Engineer Name
Date: ..........................
Checked
By: .............................
Date: ..........................
Approved
By: .............................
Date: ..........................
Client Approved
By: .............................
Date: ..........................