x^2-6x+q = (x - 9/2)(x-a) = x^2 - (a + 9/2)x + 9/2 a
clearly, a + 9/2 = 6
now just finish it off
One of the roots of the equation x^2−6x+q=0 is 4.5. Find the other root and the value of the coefficient q.
2 answers
h = - B/2A = 6/2 = 3 = axis of symmetry.
The roots are the same distance from axis of symmetry.
(1.5, 0), (3, 0), (4.5, 0). The roots are 1.5 and 4.5.
4.5^2 - 6*4.5 + q = 0
q =
The roots are the same distance from axis of symmetry.
(1.5, 0), (3, 0), (4.5, 0). The roots are 1.5 and 4.5.
4.5^2 - 6*4.5 + q = 0
q =
1 answer