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Form the Quadratic Equation from the Roots Given Below. 0 and 4 - Algebra

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Short Note
Sum

Form the quadratic equation from the roots given below.

 0 and 4

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Solution

0 and 4
Sum of roots = 0 + 4 = 4
Product of roots = 0 \[\times\]4 = 0
The general form of the quadratic equation is \[x^2 - \left( \text{ Sum of roots } \right)x + \text{ Product of roots } = 0\]

So, the quadratic equation obtained is \[x^2 - 4x + 0 = 0\]

\[\Rightarrow x^2 - 4x = 0\]
\[ \Rightarrow x\left( x - 4 \right) = 0\]

Concept: Solutions of Quadratic Equations by Completing the Square
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APPEARS IN

Balbharati Mathematics 1 Algebra 10th Standard SSC Maharashtra State Board
Chapter 2 Quadratic Equations
Practice Set 2.5 | Q 4.1 | Page 50
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