Question

If a ß be the roots of the equation
2x2 - 4x - 3 = 0 the value of a2 + B2 is​

Answer 1

Answer:

7

Step-by-step explanation:

If a , b be the roots of the equation

2x2 - 4x - 3 = 0 the value of a2 + b2 is?

2x² - 4x - 3 = 0

x² - 2x - 3/2 = 0

x = (2±√10)÷2 = 1±√10/2

a² + b² = (a+b)² - 2ab = 2² +3 = 7

check :

a²+b² = (1 +√10/2)² + (1 - √10/2)² = 2 + 20/4 = 2 + 5 = 7 o.k.