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iogann1982 [59]
3 years ago
9

PLEASE SOLVE AND CHECK

Mathematics
2 answers:
arlik [135]3 years ago
6 0

Answer:

x = 2 / 3  or   x = 2

Step-by-step explanation:

3x² = -4 + 8x

3x² - 8x + 4 = 0

3x² - 6x - 2x + 4 = 0

3x ( x - 2 ) -2 ( x - 2 ) = 0

( 3x - 2 )  ( x - 2 ) = 0

Therefore,

3x - 2 = 0             or                x - 2 = 0

3x = 2                                      x = 2

x = 2/3

Hope this helps you :-)

liq [111]3 years ago
5 0

<u>Solution</u><u>:</u>

3 {x}^{2}  =  - 4 + 8x

Let us transpose -4 and 8x to the Left Hand Side. So we are left with 0 on the Right Hand Side.

=  >  {3x}^{2}  + 4 - 8x = 0

Now, arrange the expression in standard form.

=  >  {3x}^{2}  - 8x + 4 = 0 \\

Now, split the mid term. Here, 3 × 4 = 12. So, we can split -8x into -2x and -6x.

=  >  ({3x}^{2}  - 6x )- (2x  + 4) = 0 \\

Now, take 3x common from the first expression and 2 from the second.

=  > 3x(x - 2) - 2(x - 2) = 0 \\  =  > (3x - 2)(x - 2) = 0

When, two terms are equal to 0, then each term is equal to zero.

=  > 3x - 2 = 0 \:  \: and \: x - 2 = 0 \\  =  > 3x = 2 \:  \: and \: x = 2 \\  =  > x =  \frac{2}{3} \:   \: and \:  \: 2

<u>Answer:</u>

<u>x =  \frac{2}{3}  \:  \: and \:  \: 2</u>

Hope you could understand.

If you have any query, feel free to ask.

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