Question

9x²+25=30xx?
$what is the nature of the root of the quadratic equation 9x$
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Answer 1

Answer:

Equal and real

Step-by-step explanation:

9x² + 25 = 30x  ⇒ 9x² - 30x + 25 = 0

Nature of roots is determined by the discriminant(value under square root).

In general, discriminant = b² - 4ac,   for ax² + bx + c = 0.

Here,

a = 9  ;  b = - 30      ;  c = 25

 So, discriminant is,

⇒ b² - 4ac

⇒ (-30)² - 4(9)(25)

⇒ 900 - 900

⇒ 0,   it means roots are real and equal for all real x.