The given equation is-
First, we move the independent term to the other side.
Now, we have to use the quadratic equation to find the solutions.-
![x_{1,2}=\frac{-b\pm\sqrt[]{b^2-4ac}}{2a}](https://tex.z-dn.net/?f=x_%7B1%2C2%7D%3D%5Cfrac%7B-b%5Cpm%5Csqrt%5B%5D%7Bb%5E2-4ac%7D%7D%7B2a%7D)
Where, a = 1, b = -10, and c = 34.
Replacing these values in the formula, we have.
![\begin{gathered} x_{1,2}=\frac{-(-10)\pm\sqrt[]{(-10)^2-4(1)(34)}}{2(1)} \\ x_{1,2}=\frac{10\pm\sqrt[]{100-136}}{2}=\frac{10\pm\sqrt[]{-36}}{2} \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20x_%7B1%2C2%7D%3D%5Cfrac%7B-%28-10%29%5Cpm%5Csqrt%5B%5D%7B%28-10%29%5E2-4%281%29%2834%29%7D%7D%7B2%281%29%7D%20%5C%5C%20x_%7B1%2C2%7D%3D%5Cfrac%7B10%5Cpm%5Csqrt%5B%5D%7B100-136%7D%7D%7B2%7D%3D%5Cfrac%7B10%5Cpm%5Csqrt%5B%5D%7B-36%7D%7D%7B2%7D%20%5Cend%7Bgathered%7D)
But, there's no square root of -36 because it's a negative. To solve this issue, we use complex numbers that way, we would have solutions.
![x_{1,2}=\frac{10\pm\sqrt[]{36}i}{2}=\frac{10\pm6i}{2}=5\pm3i](https://tex.z-dn.net/?f=x_%7B1%2C2%7D%3D%5Cfrac%7B10%5Cpm%5Csqrt%5B%5D%7B36%7Di%7D%7B2%7D%3D%5Cfrac%7B10%5Cpm6i%7D%7B2%7D%3D5%5Cpm3i)
<h2>Therefore, the solutions are</h2>
The right answer is B.
Answer:
Carter's bedroom would cost more to carpet than Carly's because the floor area of the former is about five square feet greater than the floor area of Carly's bedroom.
Step-by-step explanation:
The area of either of these floors is found by multiplying length by width:
A = L*W.
Carly's bedroom is 15.3 ft by 8.7 ft; multiplying, we get A = 133.11 ft^2
Carter's is 14.4 ft by 9.6 ft: A = 138.24 ft^2
Carter's bedroom area (138.24 ft^2) is about 5 ft^2 larger than Carly's and would thus cost more to carpet.
Answer:
B is 5/8
Step-by-step explanation:
Note: 4/8 = 1/2 and 6/8 = 3/4
1/2 of 412 is 206.
.5% (1/2%) of 412 is 2.06
