Answer:
A = -1 - √6
B = -1 + √6
Explanation:
To find the 2 roots for the algebraic expression below we use Almighty formula
x² + 2x - 5
Formula = -b ± √b² - 4ac/2a
Where: ax²+ bx + c
a = 1, b = 2, c = -5
Hence:
-2 ± √2² - 4 × 1 × -5/2 × 1
-2 ± √4 + 20/2
-2 ± √24/2
Finding the roots
-2 ± √4 × 6/2
-2 ± 2√6/2
Hence
-2/2 ± 2√6/2
-1 ± √6
-1 - √6 , -1 + √6
Therefore the two roots are
Option A = -1 - √6 and Option B = -1 + √6