Assuming the equation is:
5/(x-5) = x/(x-5) - 5x/4
We first multiply by the LCD: 4(x-5)
20 = 4x - 5x(x-5)
20 = 4x - 5x^2 + 25x
5x^2 - 29x + 20 = 0
(5x - 4)(x - 5) = 0
x = 4/5, 5
Substituting x = 5 gives denominators of 0, which is extraneous.
Substituting x = 4/5 gives a valid equation, so this is the only correct solution.

3 0

3 years ago

Read 2 more answers

Which expression is equivalent to this polynomial? 6x2 + 10x − 56=

hammer [34]

2nd one maybe I’m not to sure srry

4 0

3 years ago

Read 2 more answers

Select the best answer for the question

Klio2033 [76]

Answer:

C. $\left[\begin{array}{ccc}-24&0&-3\\8&-48&56\\25&-6&10\end{array}\right]$

Step-by-step explanation:

The given matrices are;

$F=\left[\begin{array}{cc}-2&0\\0&8\\2&1\end{array}\right]$

and

$C=\left[\begin{array}{ccc}12&0&\frac{3}{2}\\1&-6&7\end{array}\right]$

$FC=\left[\begin{array}{cc}-2&0\\0&8\\2&1\end{array}\right]\left[\begin{array}{ccc}12&0&\frac{3}{2}\\1&-6&7\end{array}\right]$

$FC=\left[\begin{array}{ccc}12(-2)+0(1)&0(-2)+-6(0)&\frac{3}{2}(-2)+7(0)\\12(0)+8(1)&0(0)+8(-6)&0(\frac{3}{2})+8(7)\\2(12)+1(1)&2(0)+1(-6)&2(\frac{3}{2})+1(7)\end{array}\right]$

This simplifies to;

$FC=\left[\begin{array}{ccc}-24&0&-3\\8&-48&56\\25&-6&10\end{array}\right]$

The correct answer is C

5 0

3 years ago