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Maths-

General

Easy

Question

Identify the value of c that makes the trinomial factorable using the perfect square pattern.
$6 x squared minus 36 x plus c$

hint Hint:

using condition $b squared minus 4 a c equals 0$ in the trinomial to find c which makes the trinomial the perfect square. Ans :- c = 54

The correct answer is: c = 54

Given , $6 x squared minus 36 x plus c text comparing it with end text a x squared plus b x plus c$
Here $a equals 6 semicolon space b equals negative 36$
$b squared minus 4 a c equals 0$ if the trinomial is a perfect square.
$b squared equals 4 a c not stretchy rightwards double arrow left parenthesis negative 36 right parenthesis squared equals 4 left parenthesis 6 right parenthesis left parenthesis c right parenthesis not stretchy rightwards double arrow 1296 equals 24 c$
$c equals 54$
∴ c = 54

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