XxmathguyxX

prime factorization:

25=5x5

complete!

no it is not prime

25= 5x5 @ guest it can be divided by 5

ok, so

6x - x^2 = k

everytime x is increased by 1, 6x is increased by 6

everytime x is increased by 1, x^2 is increased by 2x+1, since,

$(x+1)\times(x+1)$

$=x(x+1)+1(x+1)$

$=x^2+x+x+1$

so we added 2x+1

I'll let you figure this out 

p.s also trial and error will work just as fine

would you mind explaining what R4 and R3 is?

Since, $\overline{DC}$ is parellel to $\overline{AB}$, $\angle{DCA}$ is the same as $\angle{CAB}$.

$\angle{ACB}=180-(40+73)$

$=180-113=67$

so 67 is your answer!

$2x^2=4x+9$

$2x^2-9=4x$

$2x^2-4x-9=0$

$x_{1,\:2}=\frac{-\left(-4\right)\pm \sqrt{\left(-4\right)^2-4\cdot \:2\left(-9\right)}}{2\cdot \:2}$

$x_{1,\:2}=\frac{-\left(-4\right)\pm \:2\sqrt{22}}{2\cdot \:2}$

$x_1=\frac{-\left(-4\right)+2\sqrt{22}}{2\cdot \:2},\:x_2=\frac{-\left(-4\right)-2\sqrt{22}}{2\cdot \:2}$

$x=\frac{2+\sqrt{22}}{2},\:x=\frac{2-\sqrt{22}}{2}$

In this case, it is

$x=\frac{2+\sqrt{22}}{2}$

2+22+2=26

so 26 is your answer!

finally i can breath....

i've been holding my breath for 10 minutes now

THANK YOU CPHILL for adding proof to my solution. Also thanks to @Builderboi for providing an answer. Thanks ya'll!

let's see what cphill gets.....

*getting so nervous*

*on the brink of extiction*

*super fast breathing*