Answer: the solutions the equation is - 3 or 5
Explanation:
The given quadratic equation is expressed as
y² + 2y - 1 = 0
The equation is already in the standard form of ax² + bx + c
The general formula for solving quadratic equations is expressed as
x = [- b ± √(b² - 4ac)]/2a
From the equation given,
a = 1
b = 2
c = - 1
Therefore, it becomes
= [- 2 ± √(2² - 4 × 1 × - 1)]/2 × - 1
= [- 2 ± (8)]/- 2
= (- 2 + 8)/ - 2. Or ( - 2 - 8)/ - 2
= 6/- 2 or - 10/- 2
= - 3 or 5