25 points !!! And I will also mark brainliest. Please answer the question in the picture

Answer:
0.5 and 7.5
Step-by-step explanation:
it says rounding them, and the answers are
0.53112887
7.53112887
Answer:
[tex]x = 0.5[/tex] , [tex]-7.5[/tex]
Explanation:
[tex]x = \dfrac{ -b \pm \sqrt{b^2 - 4ac}}{2a}[/tex]
equation: x² + 7x -4
Here the a = 1 , b = 7 , c = -4
using the equation:
[tex]\hookrightarrow x = \dfrac{ -7 \pm \sqrt{(7)^2 - 4(1)(-4)}}{2(1)}[/tex]
[tex]\hookrightarrow x = \dfrac{ -7 \pm \sqrt{65}}{2}[/tex]
[tex]\hookrightarrow x = \dfrac{ -7 + \sqrt{65}}{2}[/tex] , [tex]\dfrac{ -7 - \sqrt{65}}{2}[/tex]
[tex]\hookrightarrow x = 0.5[/tex] , [tex]-7.5[/tex]