Quadratic Equations PDF

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File nameQuadratic Equations PDF
No. of Pages9  
File size310 KB  
Date AddedAug 29, 2022  
CategoryEducation  
LanguageEnglish  
Source/CreditsDrive Files        

Quadratic Equations Overview

A quadratic equation is an algebraic equation of the second degree in x. The quadratic equation in its standard form is ax2 + bx + c = 0, where a and b are the coefficients, x is the variable, and c is the constant term. Quadratic equations are equations of the form y = ax2 + bx + c or y = a(x – h)2 + k. The shape of the graph of a quadratic equation is a parabola.

Quadratic Equation Formula

The solution or roots of a quadratic equation are given by the quadratic formula: (α, β) = [-b ± √(b2 – 4ac)]/2a

α = (-b-√b2-4ac)/2a and β = (-b+√b2-4ac)/2a

b2 – 4ac > 0Real and unequal
b2 – 4ac = 0Real and equal
b2 – 4ac < 0Unequal and Imaginary
b2 – 4ac > 0 (is a perfect square)Real, rational, and unequal
b2 – 4ac > 0 (is a perfect square)Real, irrational, and unequal
b2 – 4ac > 0 (is a perfect square and a or b is irrational)Irrational
Quadratic Equations PDF

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