Question

X2-55x+414 =0 quardratic equarion by quadratic formula​

Answer 1

$\huge{\boxed{\boxed{\tt{\purple{Solution\: ⤵}}}}}$

$➪ \: {x}^{2} \: - \: 55 \:x + \: 414 \: = \: 0 \\ ➪ \: {x}^{2}  - 18 \: x + 23 \: x - \: 414 \:=\:0\\ ➪ \: x \: ( \: x\: - \: 18 \: ) \: + \: 23 \: ( \:x \: - \: 18 \: )\: = \: 0 \\ ➪ \: ( \:x \: - \: 18 \: ) \: (\: x\: + \: 23 \: ) \: = \: 0$

☘️ Hence, the value of $x$ = 18 ; $x$ = -23

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