At Westonci.ca, we connect you with experts who provide detailed answers to your most pressing questions. Start exploring now! Experience the convenience of finding accurate answers to your questions from knowledgeable experts on our platform. Explore comprehensive solutions to your questions from a wide range of professionals on our user-friendly platform.

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.

We hope you found this helpful. Feel free to come back anytime for more accurate answers and updated information. Thank you for your visit. We're committed to providing you with the best information available. Return anytime for more. Discover more at Westonci.ca. Return for the latest expert answers and updates on various topics.