The quadratic equation which matches given solution is x² + 3x + 3 = 0. Then the correct option is C.
<h3>What is a quadratic equation?</h3>
It is a polynomial that is equal to zero. Polynomial of variable power 2, 1, and 0 terms are there. Any equation having one term in which the power of the variable is a maximum of 2 then it is called a quadratic equation.
We know that the formula
![\rm x = \dfrac{-b\pm \sqrt{b^2-4ac}}{2a}](https://tex.z-dn.net/?f=%5Crm%20x%20%3D%20%5Cdfrac%7B-b%5Cpm%20%5Csqrt%7Bb%5E2-4ac%7D%7D%7B2a%7D)
The solutions are given below.
![\rm x = \dfrac{-3 \pm \sqrt3 \iota }{2}](https://tex.z-dn.net/?f=%5Crm%20x%20%3D%20%5Cdfrac%7B-3%20%5Cpm%20%5Csqrt3%20%5Ciota%20%7D%7B2%7D)
Then
1) 2x² + 6x + 9 = 0, the zeroes of the equation will be
![\rm x = \dfrac{-6\pm 6\iota}{4}\\\\x = \dfrac{-3\pm 3 \iota}{2}](https://tex.z-dn.net/?f=%5Crm%20x%20%3D%20%5Cdfrac%7B-6%5Cpm%206%5Ciota%7D%7B4%7D%5C%5C%5C%5Cx%20%3D%20%5Cdfrac%7B-3%5Cpm%203%20%5Ciota%7D%7B2%7D)
2) x² + 3x + 12 = 0, the zeroes of the equation will be
![\rm x = \dfrac{-3\pm \sqrt{39}\iota}{2}](https://tex.z-dn.net/?f=%5Crm%20x%20%3D%20%5Cdfrac%7B-3%5Cpm%20%5Csqrt%7B39%7D%5Ciota%7D%7B2%7D)
3) x² + 3x + 3 = 0, the zeroes of the equation will be
![\rm x = \dfrac{-3\pm \sqrt3\iota}{2}](https://tex.z-dn.net/?f=%5Crm%20x%20%3D%20%5Cdfrac%7B-3%5Cpm%20%5Csqrt3%5Ciota%7D%7B2%7D)
4) 2x² + 6x + 3 = 0, the zeroes of the equation will be
![\rm x = \dfrac{-6\pm 2\sqrt{3}}{4}\\\\x = \dfrac{-3\pm \sqrt3 }{2}](https://tex.z-dn.net/?f=%5Crm%20x%20%3D%20%5Cdfrac%7B-6%5Cpm%202%5Csqrt%7B3%7D%7D%7B4%7D%5C%5C%5C%5Cx%20%3D%20%5Cdfrac%7B-3%5Cpm%20%5Csqrt3%20%7D%7B2%7D)
More about the quadratic equation link is given below.
brainly.com/question/2263981
The first mechanic made $2000 for 10 hours. And the second mechanic made $1000 for 5 hours. So therefore if you add how much money they both made, how much moola would they be charged? just say something if you don't understand it.
Answer:
-5/2 or -2.5.
Step-by-step explanation:
The remainder theorem states that if the polynomial f(x) is divided by (x - a) then the remainder is f(a).
To find the remainder we put x = -3/2 ( by solving 2x + 3 = 0).
The remainder = 4(-3/2)^3 + 6(-3/2)^2 + 3(-3/2) + 2
= -27/2 + 27/2 - 9/2 + 2
= -9/2 + 4/2
= -5/2.
Answer:
- x = 81 and 3/4
Step-by-step explanation:
8 × 2 – 4x = 363
16 - 4x = 363
Subtract 16 from each side:
16 - 16 - 4x = 363 - 16
- 4x = 327
Divide each side by 4:
- 4x ÷ 4 = 327 ÷ 4
- x = 81 and 3/4