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stellarik [79]
3 years ago
6

Find the real or imaginary solutions of each equation by factoring

Mathematics
1 answer:
anyanavicka [17]3 years ago
8 0
Sum of  2 perfect cubes
a³+b³=(a+b)(x²-xy+y²)
so

x³+4³=(x+4)(x²-4x+16)
set each to zero
x+4=0
x=-4

the other one can't be solveed using conventional means
use quadratic formula
for
ax^2+bx+c=0
x=\frac{-b+/- \sqrt{b^2-4ac} }{2a}
for x²-4x+16=0
x=\frac{-(-4)+/- \sqrt{(-4)^2-4(1)(16)} }{2(1)}
x=\frac{4+/- \sqrt{16-64} }{2}
x=\frac{4+/- \sqrt{-48} }{2}
x=\frac{4+/- (\sqrt{-1})(\sqrt{48}) }{2}
x=\frac{4+/- (i)(4\sqrt{3}) }{2}
x=2+/- 2i\sqrt{3}


the roots are
x=-4 and 2+2i√3 and 2-2i√3
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4 0
3 years ago
Please Help i will give the brainliest!
Dmitriy789 [7]

Answer:

<em>See below</em>

Step-by-step explanation:

In this example we are to consider the equation 2x - 5 = 4x + 12, and are asked to solve for x. Well let us take the first approach, a mathematical one;

2x - 5 = 4x + 12,\\- 5 = 2x + 12,\\- 17 = 2x,\\\\x = - 17 / 2 = - 8.5\\\\Conclusion, x = - 8.5 / x = - 8 and 1 / 2

Now consider the explanation, " talking over a phone to a friend. "

First you would subtract 2x on either side of the equation, canceling the 2x on one side, and subtracting 2x from 4x on the other, resulting in the simplified equation - 5 = 2x + 12. Subtracting 12 from either side we cancel the 12 on one side, and subtract - 12 and - 5 on the other. We now get - 17 = 2x. Dividing 2 on either side, x = - 8.5!

7 0
3 years ago
The total cost of Anja’s trip to the dentist was $628.35. She paid a flat fee of $89.95 which included the checkup and cleaning
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4x + 89.95 = 628.35 <== ur equation
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8 0
3 years ago
Read 2 more answers
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