Answer:
150,000
Step-by-step explanation:
15x10000=150,000
Answer:
OD.-3×2+11×++4
Step-by-step explanation:
ttc gtfbdjwnjdnhwjhbdjsk
Answer:
Below.
Step-by-step explanation:
0.9 = 90/100 fraction and
= 0.90 as a decimal.
Answer:
Please check the explanation.
Step-by-step explanation:
Given the equation
![x^2\:-16x\:+\:39\:=\:0](https://tex.z-dn.net/?f=x%5E2%5C%3A-16x%5C%3A%2B%5C%3A39%5C%3A%3D%5C%3A0)
Subtract 39 from both sides
![x^2-16x+39-39=0-39](https://tex.z-dn.net/?f=x%5E2-16x%2B39-39%3D0-39)
Simplify
![x^2-16x=-39](https://tex.z-dn.net/?f=x%5E2-16x%3D-39)
Rewrite in the form x² + 2ax + a²
solve for a, 2ax = -16x
2ax = -16x
divide both sides by 2a
2ax/2x = -16x/2x
a = -8
Add a² = (-8)² to both sides
![x^2-16x+\left(-8\right)^2=-39+\left(-8\right)^2](https://tex.z-dn.net/?f=x%5E2-16x%2B%5Cleft%28-8%5Cright%29%5E2%3D-39%2B%5Cleft%28-8%5Cright%29%5E2)
simplify
![x^2-16x+\left(-8\right)^2=25](https://tex.z-dn.net/?f=x%5E2-16x%2B%5Cleft%28-8%5Cright%29%5E2%3D25)
Apply perfect square formula: (a-b)² = a² - 2ab + b²
∵ ![x^2-16x+\left(-8\right)^2=\left(x-8\right)^2](https://tex.z-dn.net/?f=x%5E2-16x%2B%5Cleft%28-8%5Cright%29%5E2%3D%5Cleft%28x-8%5Cright%29%5E2)
Thus,
![\left(x-8\right)^2=25](https://tex.z-dn.net/?f=%5Cleft%28x-8%5Cright%29%5E2%3D25)
<u>BONUS! EXTENDED SOLUTION!</u>
We can further solve for x such as
![\mathrm{For\:}f^2\left(x\right)=a\mathrm{\:the\:solutions\:are\:}f\left(x\right)=\sqrt{a},\:-\sqrt{a}](https://tex.z-dn.net/?f=%5Cmathrm%7BFor%5C%3A%7Df%5E2%5Cleft%28x%5Cright%29%3Da%5Cmathrm%7B%5C%3Athe%5C%3Asolutions%5C%3Aare%5C%3A%7Df%5Cleft%28x%5Cright%29%3D%5Csqrt%7Ba%7D%2C%5C%3A-%5Csqrt%7Ba%7D)
solve
![x-8=\sqrt{25}](https://tex.z-dn.net/?f=x-8%3D%5Csqrt%7B25%7D)
![x-8=\sqrt{5^2}](https://tex.z-dn.net/?f=x-8%3D%5Csqrt%7B5%5E2%7D)
![x=13](https://tex.z-dn.net/?f=x%3D13)
similarly,
![x-8=-\sqrt{25}](https://tex.z-dn.net/?f=x-8%3D-%5Csqrt%7B25%7D)
![x-8=-5](https://tex.z-dn.net/?f=x-8%3D-5)
![x=3](https://tex.z-dn.net/?f=x%3D3)
Therefore,
![x=13,\:x=3](https://tex.z-dn.net/?f=x%3D13%2C%5C%3Ax%3D3)