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sertanlavr [38]
2 years ago
12

Can anyone help?

Mathematics
1 answer:
SVEN [57.7K]2 years ago
4 0

For the equation (2k + 1)x² + 2x = 10x - 6 to have two real and equal roots, the value of k = 5/6.

Since the equation is (2k + 1)x² + 2x = 10x - 6, we collect subtract 10x from both sides and add 6 to both sides.

So, we have (2k + 1)x² + 2x - 10x + 6 = 10x - 6 - 10x + 6

(2k + 1)x² - 8x + 6 = 0

For the equation, (2k + 1)x² + 2x = 10x - 6 to have two real and equal roots, this new equation (2k + 1)x² - 8x + 6 = 0 must also have two real and equal roots.

For the equation to have two real and equal roots, its discriminant, D = 0.

D = b² - 4ac where b = -8, a = 2k + 1 and c = 6.

So, D =  b² - 4ac

D =  (-8)² - 4 × (2k + 1) × 6 = 0

64 - 24(2k + 1) = 0

Dividing through by 8, we have

8 - 3(2k + 1) = 0

Expanding the bracket, we have

8 - 6k - 3 = 0

Collecting like terms, we have

-6k + 5 = 0

Subtracting 5 from both sides, we have

-6k = -5

Dividing through by -6, we have

k = -5/-6

k = 5/6

So, for the equation (2k + 1)x² + 2x = 10x - 6 to have two real and equal roots, the value of k = 5/6.

Learn more about quadratic equations here:

brainly.com/question/18162688

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Answer:

R = 6

Step-by-step explanation:

Given the equation of the line is 2x - Ry = 30

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Now convert the above given line to the standard form

Divide the line by 30 we get

\frac{2x}{30}-\frac{Ry}{30} =\frac{30}{30}

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a_sh-v [17]

Question

Find the greatest common factor of these three expressions. 5v2 , 14v4 , and 35


Answer:

<h2>1</h2>

Step-by-step explanation:

assuming that 5v2 is 5², and 14v4 is 14^4

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The factors of 25 are: 1, 5, 25

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The factors of 38416 are: 1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 343, 392, 686, 784, 1372, 2401, 2744, 4802, 5488, 9604, 19208, 38416

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the greatest common factor is 1



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Step-by-step explanation:

Let's simplify step-by-step.

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