Question

The nature of roots of the equations 9x^2-30x+25 = 0
are​

Answer 1

Answer:

the roots are 5/3 and 5/3

Step-by-step explanation:

9x^2-30x+25=0

a=9,b=-30,c=25

quadratic formula=-b±[root over]b^2-4ac/2a

=-(-30)±root over(-30)^2-4*9*25/2*9

=30±root over 900-900/18

=30 root over 0/18

=30/18

=15/9

=5/3

Answer 2

Answer:

The roots are 5/3 and 5/3.

Step-by-step explanation:

9x²- 30x + 25 = 0

Step 1: For the roots we have to take numbers whose addition is 30 and multiplication is 25 × 9 = 225,

∴ 9x² - 15x - 15x + 25 = 0.

Step 2: Taking out common numbers,

∴ 3x (3x - 5) - 5 (3x - 5) = 0

∴ (3x-5) (3x-5) = 0

∴ 3x - 5 =0 and 3x - 5 =0

∴ x = 5/3 and x = 5/3

So, The nature of roots of the equations 9x²-30x+25 = 0 are x = 5/3 and x = 5/3.

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