Answer:
11
Step-by-step explanation:
Given
x² - 7x + 10 = 28 ( subtract 28 from both sides )
x² - 7x - 18 = 0 ← in standard form
(x - 9)(x + 2) = 0 ← in factored form
Equate each factor to zero and solve for x
x - 9 = 0 ⇒ x = 9
x + 2 = 0 ⇒ x = - 2
The distance between the solutions is
| 9 - (- 2) | = | 11 = 11 units
<u>ANSWER</u>
![c = 5](https://tex.z-dn.net/?f=c%20%3D%205)
<u>EXPLANATION</u>
A quadratic equation is said to be in standard form when it is in the form
![a {x}^{2} + bx + c = 0](https://tex.z-dn.net/?f=a%20%7Bx%7D%5E%7B2%7D%20%20%2B%20bx%20%2B%20c%20%3D%200)
where a, b, c are real numbers.
The given quadratic equation is
![- 6 = {x}^{2} + 4x - 1](https://tex.z-dn.net/?f=%20-%206%20%3D%20%20%7Bx%7D%5E%7B2%7D%20%20%2B%204x%20-%201)
When we add 6 to both sides, we obtain,
![-6 + 6= {x}^{2} + 4x - 1 + 6](https://tex.z-dn.net/?f=-6%20%2B%206%3D%20%20%7Bx%7D%5E%7B2%7D%20%20%2B%204x%20-%201%20%2B%206)
![\implies \: 0= {x}^{2} + 4x + 5](https://tex.z-dn.net/?f=%20%5Cimplies%20%5C%3A%200%3D%20%20%7Bx%7D%5E%7B2%7D%20%20%2B%204x%20%20%2B%205)
Or
![\implies \: {x}^{2} + 4x + 5 = 0](https://tex.z-dn.net/?f=%5Cimplies%20%5C%3A%20%7Bx%7D%5E%7B2%7D%20%20%2B%204x%20%20%2B%205%20%3D%200)
This is what Alexandra got after he wrote the quadratic equation in standard form.
By comparing this equation to
![a {x}^{2} + bx + c = 0](https://tex.z-dn.net/?f=a%20%7Bx%7D%5E%7B2%7D%20%20%2B%20bx%20%2B%20c%20%3D%200)
we have a=1, b=4 and c=5.
Answer:
SIl unit is for kg. Its false.
Step-by-step explanation:
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