Question

the quadratic equation ax2+bx= -1/2 has two equal roots. express a in terms of b

Answer 1

ax^2 + bx + 1/2 = 0
delta = b^2 - 4a(1/2) = 0
-> b^2 - 2a = 0
=> b^2 = 2a
=> x = -b /2a = -b/b^2 = -1/b

Answer 2

a=b^2/2

Answer 3

\( b^2=2a \)