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3 years ago

Given: 8x-61=17, prove: 39/4

Mathematics

1 answer:

Degger [83]3 years ago

8 0

Answer:

The solution is $x = \frac{39}{4}$

Step-by-step explanation:

We are given the following equation:

8x - 61 = 17

We want to find the solution, that is, the value of x. So

$8x - 61 = 17$

$8x = 78$

$x = \frac{78}{8}$

Simplifying by 2

$x = \frac{39}{4}$

The solution is $x = \frac{39}{4}$

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We will proceed to solve each case to determine the solution of the problem.

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Group terms that contain the same variable, and move the constant to the opposite side of the equation

$x^{2}-2x=-4$

Complete the square. Remember to balance the equation by adding the same constants to each side.

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Rewrite as perfect squares

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Group terms that contain the same variable, and move the constant to the opposite side of the equation

$x^{2}+2x=4$

Complete the square. Remember to balance the equation by adding the same constants to each side.

$x^{2}+2x+1=4+1$

$x^{2}+2x+1=5$

Rewrite as perfect squares

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$(x+1)=(+/-)\sqrt{5}\\x=-1(+/-)\sqrt{5}$

therefore

case c) is not the solution of the problem

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Group terms that contain the same variable, and move the constant to the opposite side of the equation

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Complete the square. Remember to balance the equation by adding the same constants to each side.

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Rewrite as perfect squares

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case d) is the solution of the problem

therefore

the answer is

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