Respuesta :
Answer:
6 and 9
Step-by-step explanation:
set up an equation and solve for x
(x+3) * x = 54
easiest way to to try some numbers.
if you know your multiplication tables...
what two number multiplied together are 54
be sure the numbers you are thinking of meet the rules
is one 3 more than the other
do they multiply together to get 54
The numbers will be "(x = 6) and "(x = -9)".
Let,
- The number be "x".
According to the question, the equation will be:
- [tex](x+3) x = 54[/tex]
By solving the above equation, we get
→ [tex]x^2+3x=54[/tex]
→ [tex]x^2+3x-54=0[/tex]
→ [tex]x^2-6x+9x-54=0[/tex]
By taking common, we get
→ [tex]x(x-6)+9(x-6) =0[/tex]
→ [tex](x-6)(x+9)=0[/tex]
→ [tex]x-6=0[/tex]
[tex]x =6[/tex]
or,
→ [tex]x+9=0[/tex]
[tex]x =-9[/tex]
Thus the above answer is correct.
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