What is 1-4-x-(4-1)=-x-2-(4) With your work shown

Mathematics

1 answer:

erastovalidia [21]3 years ago

7 0

Lets take this step by step.

1-4-x-(4-1)=-x-2-(4)

first, we'll simplify the parentheses on the left side of the equation.

1-4-x-3=-x-2-(4)

second, we'll combine like terms on the left side.

-6-x=-x-2-(4)

third, we'll combine like terms on the right side of the equation.

-6-x=-6-x

since these are equal, (x=x), we have infinitely many solutions.

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$\bf 3=a\qquad \qquad \textit{therefore}\qquad \qquad \boxed{y=3(x-1)^2-9} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{y}{0}=3(x-1)^2-9\implies 9=3(x-1)^2\implies \cfrac{9}{3}=(x-1)^2\implies 3=(x-1)^2 \\\\\\ \pm\sqrt{3}=x-1\implies \pm\sqrt{3}+1=x\implies x= \begin{cases} \sqrt{3}+1\\ -\sqrt{3}+1 \end{cases}\implies x\approx \begin{cases} 2.73\\ -0.73 \end{cases}$