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Quardratic formula
First of all we learn what is
Quadratic Equation
Quadratic equations are second-degree algebraic expressions and are of the form ax2 +
bx + c = 0
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In other words, a quadratic equation is an “equation of degree 2
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Did you know that when a rocket is
launched, its path is described by a quadratic equation? Further, a quadratic equation
has numerous applications in physics, engineering, astronomy
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These two answers for x are also called the roots of the quadratic equations and are
designated as (α, β)
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What is Quadratic Equation?
Quadratic equation is an algebraic expression of the second degree in x
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The quadratic equation in its standard form is ax2 + bx + c = 0
The discriminant of the quadratic equation is D = b2 - 4ac
For D > 0 the roots are real and distinct
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For D < 0 the roots do not exist, or the roots are imaginary
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The quadratic equations are generally solved through factorization
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The roots of a quadratic equation are also called the zeroes of the equation
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The sum and product of roots of a quadratic equation can be used to find higher algebraic
expressions involving these roots
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Example 2: Solve the quadratic equation below using the Quadratic
Formula
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Some practicing examples
❖ 6x² + 11x - 35 = 0
❖ 2x² - 4x - 2 = 0
❖ -4x² - 7x +12 = 0
❖ 20x² -15x - 10 = 0
❖ x² -x - 3 = 0
❖ 5x² - 2x - 9 = 0
❖ 3x² + 4x + 2 = 0
❖ -x² +6x + 18 = 0
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