Question

solve the quadratic equation by factorization and check the solutions
81x^2 - 36x + 4 = 0

Answer 1

Given Equation is 81x^2 - 36x + 4 = 0

= > 81x^2 - 18x - 18x + 4 = 0

= > 9x(9x - 2) - 2(9x - 2) = 0

= > (9x - 2)(9x - 2) = 0

= > (9x - 2)^2 = 0

= > 9x = 2

= > x = (2/9).


Verification:

= > 81(2/9)^2 - 36(2/9) + 4

= > 4 - 8 + 4

= > 8 - 8

= > 0.



Hope this helps!

Answer 2

81x²-36x +4 = 0
= 81x²-18x -18x +4 = 0
= 9x(9x-2) -2(9x-2)
= (9x-2)(9x-2)
hence,x = 2/9.