3 years ago

I WOULD LIKE THIS SOOVED WITH A BREAK DOWN (5x - 4)2= 36

1 answer:

3 0

$\bf (5x-4)^2=36\implies (5x-4)(5x-4)=36\impliedby using\ FOIL
\\\\\\
5^2x^2-40x+16=36\implies 25x^2-40x+16-36=0
\\\\\\
25x^2-40x-20=0\implies 5(5x^2-8x-4)=0
\\\\\\
5x^2-8x-4=0\implies (5x+2)(x-2)=0\implies 
\begin{cases}
5x+2=0\\
5x=-2\\\\
x=\cfrac{-2}{5}\\
-----\\
x-2=0\\
x=2
\end{cases}$

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