Question

Can someone please help me please?

Answer 1

Answer (Please vote me Brainliest if this helps!):

The solution is B.

Step-by-step explanation:

Solve with the quadratic formula

$x_{1,\:2}=\frac{-\left(-7\right)\pm \sqrt{\left(-7\right)^2-4\cdot \:1\cdot \:13}}{2\cdot \:1}$

Simplify

$x_{1,\:2}=\frac{-\left(-7\right)\pm \sqrt{3}i}{2\cdot \:1}$

Separate the solutions

$x_1=\frac{-\left(-7\right)+\sqrt{3}i}{2\cdot \:1},\:x_2=\frac{-\left(-7\right)-\sqrt{3}i}{2\cdot \:1}$

$\frac{-\left(-7\right)+\sqrt{3}i}{2\cdot \:1}$

Apply rule - (-a) = a

$\frac{7+\sqrt{3}i}{2\cdot \:1}$

Multiply the numbers: 2 · 1 = 2

$\frac{7+\sqrt{3}i}{2}$

$\frac{-\left(-7\right)-\sqrt{3}i}{2\cdot \:1}$

Apply rule - (-a) = a

$\frac{7-\sqrt{3}i}{2\cdot \:1}$

Multiply the numbers: 2 · 1 = 2

$\frac{7-\sqrt{3}i}{2}$

The solutions to the quadratic equations are:

$\frac{7+\sqrt{3}i}{2}$, $\frac{7-\sqrt{3}i}{2}$