3 years ago

Solve for the variable: -(3x)^2 + 3 = -6

Mathematics

2 answers:

Veronika [31]3 years ago

5 0

Hey there! :)

-(3x)² + 3 = -6

Simplify.

-(9x²) + 3 = -6

Simplify.

-9x² + 3 = -6

Subtract 3 from both sides.

-9x² = -6 - 3

Simplify.

-9x² = -9

Divide -9 from both sides.

-9x² ÷ -9 = -9 ÷ -9

Simplify.

x² = 1

So, x = 1 OR x = -1

~Hope I helped!~

BartSMP [9]3 years ago

4 0

Done there you go your answer

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Answer:

$\rm x = \dfrac{2e - 1}{ {e}^{2} }$

Step-by-step explanation:

$\rm Solve \: for \: x: \\ \rm \longrightarrow ex + {e}^{ - 1} = 2 \\ \\ \rm \longrightarrow e x + \dfrac{1}{e} = 2 \\ \\ \rm Subtract \: \dfrac{1}{e} \: from \: both \: sides: \\ \rm \longrightarrow e x + \dfrac{1}{e} - \dfrac{1}{e} = 2 - \dfrac{1}{e} \\ \\ \rm \longrightarrow ex = \dfrac{2e}{e} - \dfrac{1}{e} \\ \\ \rm \longrightarrow ex = \dfrac{2e - 1}{e} \\ \\ \rm Divide \: both \: sides \: by \: e: \\ \rm \longrightarrow \dfrac{ex}{e} = \dfrac{2e - 1}{e \times e} \\ \\ \rm \longrightarrow x = \dfrac{2e - 1}{ {e}^{2} }$