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earnstyle [38]
3 years ago
5

25 x 1/10 write in simplest form. Identify the two whole number between which the product lies

Mathematics
1 answer:
Margaret [11]3 years ago
4 0

Answer:

25× 1/10 = 5/2

Step-by-step explanation:

5/2 or 2.5 lies between 2 and 3

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Option A

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<h3><u>Solution:</u></h3>

Given equation is:

x^2 + 14x = -24

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First, rearrange the equation so that only zero will be on the right side:

x^2 + 14x + 24 = 0 ----- eqn 1

<em><u>The general form of quadratic equation is:</u></em>

ax^2 + bx + c = 0 where a \neq 0

On comparing the given eqn 1 with general quadratic equation, we get

a = 1

b = 14

c = 24

In completing the square, we take half of coefficient of middle term "x" and then square it. Then we add it on both sides of the equation

So to complete the square, add (\frac{b}{2})^2 to both sides of the equation

x^2 + 14x + 24 + (\frac{14}{2})^2 = (\frac{14}{2})^2

x^2 + 14x + 24 + 7^2 = 7^2\\\\x^2 + 14x + 24 + 49 = 49

x^2 + 14x + 24 + 49 = 49\\\\x^2 + 14x + 49 = 49 - 24\\\\x^2 + 14x + 49 = 25\\\\(x + 7)(x + 7) = 25\\\\(x + 7)^2 = 25

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x+7=\pm 5

Now make two equations

x + 7 = + 5 and x + 7 = -5

x = +5 - 7 = -2

x = -2

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x + 7 = -5

x = -5 - 7 = -12

x = -12

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