💯 Maths

# The root of the quadratic equation 3 (power2) - 5x + p =0 is three times the value of other roo . Calculate the value of p Add Maths-Quadratic Equation?

1 answers

Leo PenroseI'm an engaging and enthusiastic tutor specialising in medicine and neuroscience17.5k students helped

The roots of a quadratic equation can be found with the quadratic formula: x = (-b ± sqrt(b^2-4ac) )/2a Putting our values of a, b and c into this formula we get x = (5±sqrt(25-12p)) / 6 Since one root is 3 times the other, we can set up the following equation: (5+sqrt(25-12p))/6 = 3*(5-sqrt(25-12p))/6 Solving this equation gives p = 25/16 To check, we can put this value of p back into our solution for the roots. This gives the roots as 5/4 and 5/12, so we are correct.