Looking for answers? Westonci.ca is your go-to Q&A platform, offering quick, trustworthy responses from a community of experts. Discover comprehensive solutions to your questions from a wide network of experts on our user-friendly platform. Connect with a community of professionals ready to provide precise solutions to your questions quickly and accurately.

PLEASE SOLVE AND CHECK

PLEASE SOLVE AND CHECK class=

Sagot :

Hi1315

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 :-)

Solution:

[tex]3 {x}^{2} = - 4 + 8x[/tex]

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

[tex] = > {3x}^{2} + 4 - 8x = 0[/tex]

Now, arrange the expression in standard form.

[tex] = > {3x}^{2} - 8x + 4 = 0 \\ [/tex]

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

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

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

[tex] = > 3x(x - 2) - 2(x - 2) = 0 \\ = > (3x - 2)(x - 2) = 0[/tex]

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

[tex] = > 3x - 2 = 0 \: \: and \: x - 2 = 0 \\ = > 3x = 2 \: \: and \: x = 2 \\ = > x = \frac{2}{3} \: \: and \: \: 2[/tex]

Answer:

[tex]x = \frac{2}{3} \: \: and \: \: 2[/tex]

Hope you could understand.

If you have any query, feel free to ask.

Thank you for your visit. We're dedicated to helping you find the information you need, whenever you need it. We hope this was helpful. Please come back whenever you need more information or answers to your queries. We're glad you chose Westonci.ca. Revisit us for updated answers from our knowledgeable team.