Question

Select the correct answer. What are the solutions of this quadratic equation? x2 + 8x + 3 = 0 A. B. C. D.

Answer 1

Answer:

the correct answer is A.1+33/4

hope this helps if you have any questions!!

Step-by-step explanation:

Answer 2

Given,

Quadratic equation, $\[{x^2} + 8x + 3 = 0\]$

Solution,

Consider the quadratic equation is $\[a{x^2} + bx + c = 0\]$.

Use Shri Dharacharya formula,

$\[x = \frac{{ - b \pm \sqrt {{b^2} - 4ac} }}{{2a}}\]$

Compare the given quadratic equation with standard equation.

$\[a = 1,b = 8,c = 3\]$

$\[ \Rightarrow x = \frac{{ - 8 \pm \sqrt {{8^2} - 4 \times 1 \times 3} }}{{2 \times 1}}\]$

$\[ \Rightarrow x = \frac{{ - 8 \pm \sqrt {64 - 12} }}{2}\]$

$\[ \Rightarrow x = \frac{{ - 8 \pm \sqrt {52} }}{2}\]$

$\[ \Rightarrow x = - 4 \pm \sqrt {13} \]$

Hence the solution is $\[ - 4 \pm \sqrt {13} \]$