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One of the roots of the equation 5x2−36x+t=0 is five times as big as the other root. Find the value of t.

Respuesta :

sqdancefan

Answer:

  t = 36

Step-by-step explanation:

If one of the roots is "a", the equation can be factored as ...

  (5x -a)(x -a) = 0

  5x^2 -6ax +a^2 = 0

Comparing terms to the given equation, we see that ...

  -6ax = -36x

  a = 6 . . . . . . . . divide by -6

Then ...

  a^2 = t

  36 = t . . . . . . . substitute 6 for a

_____

The roots are 6 and 6/5.

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