Let's do this step by step:
Subtract both sides by 7
-2|x-4|= -10
Divide each side by -2
|x-4|= 5
Now since this is an absolute value equation, you will have two answers. This means you make the equation both positive and negative.
X-4= 5and -(x-4)= 5
Solve for x for both
X-4= 5: add four on both sides
X= 9
-x+ 4= 5: subtract 4 and divide by -1
X= -1
So your answer is: X= -1 , 9
Answer:
The value of x is:
![x=\dfrac{5\pm \sqrt{103}i}{8}](https://tex.z-dn.net/?f=x%3D%5Cdfrac%7B5%5Cpm%20%5Csqrt%7B103%7Di%7D%7B8%7D)
Step-by-step explanation:
we have to use the quadratic formula to solve for x.
The equation is given as:
![4x^2-3x+9=2x+1](https://tex.z-dn.net/?f=4x%5E2-3x%2B9%3D2x%2B1)
which could also be written as:
![4x^2-3x+9-2x-1=0\\\\4x^2-3x-2x+9-1=0\\\\\\4x^2-5x+8=0](https://tex.z-dn.net/?f=4x%5E2-3x%2B9-2x-1%3D0%5C%5C%5C%5C4x%5E2-3x-2x%2B9-1%3D0%5C%5C%5C%5C%5C%5C4x%5E2-5x%2B8%3D0)
The quadratic formula for the quadratic equation of the type:
is given as:
![x=\dfrac{-b\pm \sqrt{b^2-4ac}}{2a}](https://tex.z-dn.net/?f=x%3D%5Cdfrac%7B-b%5Cpm%20%5Csqrt%7Bb%5E2-4ac%7D%7D%7B2a%7D)
Here we have:
a=4, b=-5 and c=8.
Hence, by the quadratic formula we have:
![x=\dfrac{-(-5)\pm \sqrt{(-5)^2-4\times 8\times 4}}{2\times 4}\\\\x=\dfrac{5\pm \sqrt{25-128}}{8}\\\\\\x=\dfrac{5\pm \sqrt{103}i}{8}](https://tex.z-dn.net/?f=x%3D%5Cdfrac%7B-%28-5%29%5Cpm%20%5Csqrt%7B%28-5%29%5E2-4%5Ctimes%208%5Ctimes%204%7D%7D%7B2%5Ctimes%204%7D%5C%5C%5C%5Cx%3D%5Cdfrac%7B5%5Cpm%20%5Csqrt%7B25-128%7D%7D%7B8%7D%5C%5C%5C%5C%5C%5Cx%3D%5Cdfrac%7B5%5Cpm%20%5Csqrt%7B103%7Di%7D%7B8%7D)
Hence, the value of x is:
![x=\dfrac{5\pm \sqrt{103}i}{8}](https://tex.z-dn.net/?f=x%3D%5Cdfrac%7B5%5Cpm%20%5Csqrt%7B103%7Di%7D%7B8%7D)
Answer:
84°
Step-by-step explanation:
since the opposite side looks identical to the first angle, the second would be the same degrees.
Answer:
x is equal to 4.3
Step-by-step explanation:
since it's -4.3 + x is equal to 0
you take -4.3 to the other side of the equal sign which makes it positive and x is equal to 4.3
Answer:
150658743
Step-by-step explanation:
(301 317 167+319)÷2=150658743