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Wittaler [7]
4 years ago
12

What value can be written on the blank line to make the expressions equivalent

Mathematics
1 answer:
Gala2k [10]4 years ago
8 0
<span>The expression is missing from the question, but here is the given expression which I got from a similar question.

48 + 54 = ___ ´ (8 + 9)

Theleft-hand side of the equation is:
                                                             48 + 54 = 102
Now the right-hand side of the equation:
                                                                    A </span>× (8+9) = Right-hand side
                                                                    A × (8+9) = 102
Solving for the unknown variable A,
                                                                    A × 17 = 102
Dividing by 17 on both sides,
                                                A × 17 ÷ 17 = 102 ÷ 17
                                                         A × 1 = 6
                                                              A = 6

Hence,
           48 + 54 = 6 x (8 + 9)

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4 0
3 years ago
What are the potential solutions of In(x^2-25)=0?
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Answer:

x =\pm \sqrt{26}

Step-by-step explanation:

<u>Given </u><u>:</u><u>-</u><u> </u>

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And we need to find the potential solutions of it. The given equation is the logarithm of x² - 25 to the base e . e is Euler's Number here. So it can be written as ,

<u>Equation</u><u> </u><u>:</u><u>-</u><u> </u>

\implies log_e {(x^2-25)}= 0

<u>In </u><u>general</u><u> </u><u>:</u><u>-</u><u> </u>

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\implies log_a b = c

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In a similar way we can write the given equation as ,

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  • Now also we know that a^0 = 1 Therefore , the equation becomes ,

\implies 1 = x^2 - 25 \\\\\implies x^2 = 25 + 1 \\\\\implies x^2 = 26 \\\\\implies x =\sqrt{26} \\\\\implies x = \pm \sqrt{ 26}

<u>Hence</u><u> the</u><u> </u><u>Solution</u><u> </u><u>of </u><u>the</u><u> given</u><u> equation</u><u> is</u><u> </u><u>±</u><u>√</u><u>2</u><u>6</u><u>.</u>

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