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1 year ago

M³×n=189 Find m and n

Mathematics

1 answer:

Flura [38]1 year ago

3 0

Answer:

m=3, n = 7

Step-by-step explanation:

Assuming m and n are integers, the following are the possible values of m and n

Let m = 1, then m³ = 1 and n= 189

If m = 2 we get 8n = 189 and 189/8 is not an integer so m ≠ 2

If m = 3, we get 27n = 189 and n = 189/27 = 7

Any higher integer values of m will not result in n being an integer and I am assuming m > 1 so the correct answer is m=3, n = 7

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Answer:

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Step-by-step explanation:

We want to solve this equation: $2x^2 + 12x - 7 = 0$

On observation, the trinomial is not factorizable so we use the Completing the square method.

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$2x^2 + 12x - 7+7 = 0+7\\2x^2 + 12x=7$

Step 2: Divide the equation all through by the coefficient of $x^2$ which is 2.

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Step 3: Divide the coefficient of x by 2, square it and add it to both sides.

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[ Answer ]

$\boxed{5x^{2} \ + \ 13x \ + \ 27}$

[ Explanation ]

Simplify: 5(x + 3)(x + 2) - 3(x2 + 2x + 1)

--------------------------------------

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