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Sagot :
Answer:
Step-by-step explanation:
Because a square has 4 equal sides:
P = 4x
A = [tex]x^{2}[/tex]
Step 1. Substitute 4x into perimeter equation
[tex]P=\frac{4x^2+4}{x^2-2x+1}[/tex] (original P equation)
[tex]4x=\frac{4x^2+4}{x^2-2x+1}[/tex] (substitute P = 4x)
Step 2. Solve for x
[tex]4x(x^2-2x+1)={4x^2+4}[/tex] (multiply denominator on both sides)
[tex]4x^3-8x^2+4x={4x^2+4}[/tex] (distribute 4x)
[tex]4x^3-12x^2+4x-4=0[/tex] (combine like terms, set = to 0)
[tex]4(x^3-3x^2+x-1)=0[/tex] (factor)
Continue using quadratic formula to find x
Step 3. Plug x into area equation, [tex]x^{2}[/tex]
Hope this helps! Cannot finish answer right now, so sorry
side=Perimeter/4
side:-
[tex]\\ \rm\Rrightarrow \dfrac{4(x^2+1)}{4(x^2-2x+19}[/tex]
[tex]\\ \rm\Rrightarrow \dfrac{x^2+1}{x^2-2x+19)}✓/tex]
Area=side ²
[tex]\\ \rm\Rrightarrow \left(\dfrac{x^2+1}{x^2-2x+19}\right)^2[/tex]
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