Question

solve the quadratic equation for -15x²+96x-81=0​

Answer 1

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Answer 2

Question:-

Solve the quadratic equation for -15x² + 96x - 81 = 0

Solution:-

Our equation is -15x² + 96x - 81 = 0

Now take common -3 from equation , we get

-3 ( 5x² - 32x + 27) = 0

Final equation is 5x² - 32x + 27 = 0

Now use factorization method , we get

=> 5x² - 27x - 5x + 27 = 0 ( By splitting into middle term)

=> x(5x - 27) - (5x - 27 ) = 0

=> (x - 1 )(5x - 27 ) = 0

=> x - 1 = 0 and 5x - 27 = 0

=> x = 1 and 5x= 27

=> x = 1 and x = 27/ 5

Answer:- x = 1 and x = 27 / 5