Convert the quadratic equation y = 2(x - 3)2 + 1 to standard form

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Ответ:

arom7470

15.10.2020

Mathematics

x = 1/14

Step-by-step explanation:

We are given the equation:

$\displaystyle \large{ \frac{2x - 1}{3} = - 4x}$

Multiply the whole equation by 3 to get rid of the denominator.

$\displaystyle \large{ \frac{2x - 1}{3}(3) = - 4x(3)} \\ \displaystyle \large{ 2x - 1 = - 12x}$

Add both sides by 12x.

$\displaystyle \large{ 2x - 1 + 12x = - 12x + 12x} \\ \displaystyle \large{ 2x - 1 + 12x = 0}$

Combine like terms.

$\displaystyle \large{ 14x - 1 = 0}$

Add both sides by 1.

$\displaystyle \large{ 14x - 1 + 1= 0 + 1} \\ \displaystyle \large{ 14x = 1}$

Divide both sides by 14 to isolate x.

$\displaystyle \large{ \frac{14x}{14} = \frac{1}{14} } \\ \displaystyle \large{ x= \frac{1}{14} }$

And we're done!

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