Hey there,
Answer:
3 4 / 9 = 3.444444444444
= 3.4
Hope this helps :D
<em>~Top♥</em>
The greater root is -4.
<u>Step-by-step explanation:</u>
- The given equation is
![x^{2} +10x+24 =0](https://tex.z-dn.net/?f=x%5E%7B2%7D%20%2B10x%2B24%20%3D0)
- This a quadratic equation which can be solved using the factorizing method.
- The general form of the quadratic equation is given by
![ax^{2} +bx +c = 0](https://tex.z-dn.net/?f=ax%5E%7B2%7D%20%2Bbx%20%2Bc%20%3D%200)
where,
- a is the coefficient of x².
- b is the coefficient of x.
- c is the constant term.
In the given equation, a = 1, b = 10, c = 24.
- Sum of the roots ⇒ b
- Product of the roots ⇒ c
To find the roots of the equation
:
- Sum of the roots ⇒ 6+4 = 10 (where b = 10).
- Product of the roots ⇒ 6×4 = 24 (where c = 24).
The solution is given by (x+6)(x+4) = 0.
The roots are given by (x+6) = 0 and (x+4) = 0.
Therefore, x= -6 and x = -4 are the roots of the equation
The greater root is -4.
Answer:
1.25 x 10^2 times greater.
or
125 times greater.
Step-by-step explanation:
The required ratio is 5 x 10^7 / 4 x 10^5
= 5/4 * (10^7 / 10^5)
= 1.25 x 10^2 greater.
5, 10, 20, 40, 80, 160, 320...