Answer: 2.8 and -0.844
Explanation:
This is a quadratic equation and would require we solve it with any methods used to solve quadratic equations
1. Factorization
2. Formula method
3. Completing the squares.
5x² - 10x - 12 = 0
Using formula method,
x = [-b ± √(b2 - 4ac)]/2a,
a = 5, b = -10, c = -12
y = -(-10) ± √((-10)² - 4*5*(-12))]/2*5,
y = [10 ± √(100 + 240)]/10,
y = (10 ± 18.44) / 10
y = (10 + 18.44) / 10 = 2.8
Or,
y = (10 - 18.44) / 10 = -0.844
y = 2.8 or -0.844