(5x^2-21x-20)/(5x^2-16x-16)
((x-5)(5x+4))/((x-4)(5x+4))
(x-5)/(x-4)
x² - 3 x - 54 = x² + 6 x - 9 x - 54 = x ( x + 6 ) - 9 ( x + 6 ) = ( x + 6 ) ( x - 9 )
x² - 18 x + 81 = ( x - 9 )²
x² + 12 x + 36 = ( x + 6 )²
... = ( x + 6 ) · ( x - 9 ) / ( x - 9 )² * ( x + 6 )² / ( x + 6 ) = ( after cancellation )
= ( x + 6 )² / ( x - 9 )
After solving the given problem, I’ve been able to get 3(x-2) / 2(x-3) as the simplified form of the given equation. I am hoping that this answer has satisfied your query and it will be able to help you, and if you would like, feel free to ask another question.
If I understand clearly, the expression is
(18st^4/52s^3t)(16s^3/9s^2t)
To simply the expression, we simply have to multiply the constants and reduce the product to the lowest terms and apply the laws on exponents to simplify the variables. So, the answer would be:
8t^2/13s
(40v^2)/(35v^4) / (20v^3)/(5v)
(8)/(7v^2) / (4v^2/1)
(8)/(7v^2) * (1 / 4v^2)
2/(7v^4)
Answer:
Required positive solution of the given quadratic equation is 9.
Step-by-step explanation:
Given Equation,
x² - 36 = 5x
We need to find positive solution of the given equation.
We solve the given quadratic equation using middle term split method.
x² - 36 = 5x
x² - 5x - 36 = 0
x² - 9x + 4x - 36 = 0
x( x - 9 ) + 4( x - 9 ) = 0
( x - 9 )( x + 4 ) = 0
x - 9 = 0 and x + 4 = 0
x = 9 and x = -4
Therefore, Required positive solution of the given quadratic equation is 9.
