Answer:
<h2>This equation has no natural roots.</h2>
Step-by-step explanation:
![3x^2+x-5=0\\\\\text{Use the quadratic formula for}\ ax^2+bx+c=0\\\\x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}\\\\\text{For the given equation:}\\\\a=3,\ b=1,\ c=-5\\\\b^2-4ac=1^2-4(3)(-5)=1+60=61\\\\x=\dfrac{-1\pm\sqrt{61}}{(2)(3)}=\dfrac{-1\pm\sqrt{61}}{6}\notin\mathbb{N}](https://tex.z-dn.net/?f=3x%5E2%2Bx-5%3D0%5C%5C%5C%5C%5Ctext%7BUse%20the%20quadratic%20formula%20for%7D%5C%20ax%5E2%2Bbx%2Bc%3D0%5C%5C%5C%5Cx%3D%5Cdfrac%7B-b%5Cpm%5Csqrt%7Bb%5E2-4ac%7D%7D%7B2a%7D%5C%5C%5C%5C%5Ctext%7BFor%20the%20given%20equation%3A%7D%5C%5C%5C%5Ca%3D3%2C%5C%20b%3D1%2C%5C%20c%3D-5%5C%5C%5C%5Cb%5E2-4ac%3D1%5E2-4%283%29%28-5%29%3D1%2B60%3D61%5C%5C%5C%5Cx%3D%5Cdfrac%7B-1%5Cpm%5Csqrt%7B61%7D%7D%7B%282%29%283%29%7D%3D%5Cdfrac%7B-1%5Cpm%5Csqrt%7B61%7D%7D%7B6%7D%5Cnotin%5Cmathbb%7BN%7D)
<span>2X +1=-15
Subtract 1 from both sides
2x=-16
Divide 2 on both sides
Final Answer: x=-8</span>
Answer:
Total amount Omar earn = $120
Step-by-step explanation:
Given:
Total amount Omar, Hala and Lujain got paid = $240
Ratio of money Omar, Hala and Lujain got paid = 5:9:10
Find:
Total amount Omar earn
Computation:
Total amount Omar earn = [Total amount Omar, Hala and Lujain got paid][Omar'ratio / Total ratio]
Total amount Omar earn = [240][5 / (5+9+10)]
Total amount Omar earn = [240][5 / (24)]
Total amount Omar earn = [24][5]
Total amount Omar earn = $120
Answer:
Step-by-step explanation:
you have 1144 books but without knowing how many rows there are i cant help you find the minimum number.
but all you have to do is take the number of the books all together (1144)
then divide that number by how many rows or shelf there are
Given problem;
A = 4 π R²
To solve for R, we have to make it the subject of the expression.
Since
A = 4 π R² , follow these steps to find R;
Multiply both sides by
A x
=
x 4 π R²
= R²
Then find the square root of both sides
√R² =
R = ![\sqrt{\frac{A}{4\pi } }](https://tex.z-dn.net/?f=%5Csqrt%7B%5Cfrac%7BA%7D%7B4%5Cpi%20%7D%20%7D)
The solution is ![\sqrt{\frac{A}{4\pi } }](https://tex.z-dn.net/?f=%5Csqrt%7B%5Cfrac%7BA%7D%7B4%5Cpi%20%7D%20%7D)