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Maths-

General

Easy

Question

Identify the value of c that makes the trinomial factorable using the perfect square pattern.
$x squared plus 24 x plus c$

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 = 144

The correct answer is: c = 144

Given , $x squared plus 24 x plus c text comparing it with end text a x squared plus b x plus c$
Here $a equals 1 semicolon space b equals 24$
$b squared minus 4 a c equals 0 text if the trinomial is a perfect square. end text$
$b squared equals 4 a c not stretchy rightwards double arrow 24 squared equals 4 left parenthesis 1 right parenthesis left parenthesis c right parenthesis not stretchy rightwards double arrow 12 squared cross times 2 squared equals 4 c$
∴ c = 144

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