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Find A qaudratic eqauation whose one …

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Find A qaudratic eqauation whose one root is 3

Posted by Kuldeep Payla 6 years, 6 months ago

CBSE > Class 10 > Mathematics

1 answers

Sia ? 6 years, 6 months ago

since 3 is the root of the equation, x = 3 must satisfy the equation.
Applying x = 3 in the equation {tex}{x^2} - 5x + 6 = 0{/tex}
gives, {tex}{\left( 3 \right)^2} - 5 ( 3) + 6 = 0{/tex}
{tex} \Rightarrow {/tex}{tex}9 - 15 + 6 = 0{/tex}
{tex} \Rightarrow {/tex}{tex}15 - 15 = 0{/tex}
{tex} \Rightarrow {/tex}{tex}0 = 0{/tex}
{tex} \Rightarrow {/tex}L.H.S. = R.H.S.
Hence, {tex}{x^2} - 5x + 6 = 0{/tex} is a required equation which has 3 as root.

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CBSE > Class 10 > Mathematics