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givi [52]
3 years ago
5

Solve the equation x+x(2x-5)=23

Mathematics
2 answers:
andriy [413]3 years ago
8 0

Answer:

\large\boxed{1\pm2.5\sqrt2}

Step-by-step explanation:

x+x(2x-5)=23\qquad\text{use the distributive property}\ a(b+c)=ab+ac\\\\x+2x^2-5x=23\qquad\text{combine like terms}\\\\2x^2+(x-5x)=23\\\\2x^2-4x=23\qquad\text{subtract 23 from both sides}\\\\2x^2-4x-23=0\\\\\text{use the quadratic formula for a quadratic trinomial:}\ ax^2+bx+c=0\\\\x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}\\\\a=2,\ b=-4,\ c=-23\\\\x=\dfrac{-(-4)\pm\sqrt{(-4)^2-4(2)(-23)}}{2(2)}=\dfrac{4\pm\sqrt{200}}{4}=\dfrac{4\pm\sqrt{100\cdot2}}{4}

=\dfrac{4\pm\sqrt{100}\cdot\sqrt2}{4}=\dfrac{4\pm10\sqrt2}{4}=1\pm2.5\sqrt2

VARVARA [1.3K]3 years ago
3 0
My guess is 2+5(square of 2)/ 2 and 2-5(square of 2)/2
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I need help with this...
lisov135 [29]

   ln 5
e              =    ?
                                    x
Keep in mind that y=e     and y = ln x are inverse functions of one another.
  ln 5
e       ,  we can drop both the "e" and the "ln 5."  We are left with 5 (answer).
                                                                                        ln 5
Alternatively, we could take the ln of both sides of y = e

which will result in ln y = (ln 5) ln e.  Note that ln e = 1 (these two functions are inverses of one another).

Then we are left with ln y = ln 5.  Dropping the "ln" operator from both sides,

y=5 (same as before).
8 0
3 years ago
Which equation has the same solution as x2 – 6x – 14 = 0?
grandymaker [24]
4x would be your answer
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2 years ago
the probability that a couple will have two children, so that their first child is a boy and their second child is a girl is 1/2
a_sh-v [17]

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7 0
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Read 2 more answers
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Svetlanka [38]

Answer:

b + g = 25

b = g + 3

Step-by-step explanation:

Let b = number of boys.

Let g = number of girls.

"Mrs. Smith has a total of 25 kids in her class."

b + g = 25

"There are 3 more boys than there are girls."

b = g + 3

The system of equations is:

b + g = 25

b = g + 3

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