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kondor19780726 [428]
3 years ago
12

The square of a number is 12 more than four times the number?

Mathematics
1 answer:
Bas_tet [7]3 years ago
4 0
X^2 = 4x + 12
x^2 - 4x - 12 = 0, use the quadratic equation
Solve for x over the real numbers:
(x - 6) (x + 2) = 0
Split into two equations:
x - 6 = 0 or x + 2 = 0
Add 6 to both sides:
x = 6 or x + 2 = 0
Subtract 2 from both sides:
Answer:  x = 6 (or x = -2 only positive solution)
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5^x-3=1/25<br><img src="https://tex.z-dn.net/?f=%7B5%7D%5E%7Bx%20-%203%7D%20%3D%20%5Cfrac%7B1%7D%7B25%7D%20" id="TexFormula1" ti
Cloud [144]
The first step for solving this is to write the expression on the right side of the equation in exponential form.
5^{x-3} =  5^{-2}
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x - 3 = -2 
Now move the constant to the right side and then change its sign.
x = -2 + 3
Now calculate the sum to get your final answer.
x = 1
This means that the correct answer to your equation is going to be x = 1.
Let me know if you have any further questions.
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