The solution of the equation, 16 + 9 x = 4 + x and check the solution. The solution of the given equation is x = 0 , 1 . Calculation: Consider the provided equation, 16 + 9 x = 4 + x Square each side and solve. 16 + 9 x 2 = 4 + x 2 16 + 9 x = 16 + x + 8 x x = x Again, square each side. x 2 = x 2 x 2 − x = 0 Now factorize the above equation. x x − 1 = 0 Put the first factor equal to zero. x = 0 Put the second factor equal to zero. x − 1 = 0 x = 1 Check, Put x = 0 , 1 in the equation, 16 + 9 x = 4 + x . First put x = 0 . 16 + 9 0 = ? 4 + 0 16 = ? 4 4 = 4 Which is true. Now put x = 1 . 16 + 9 1 = ? 4 + 1 25 = ? 5 5 = 5 Which is true. Hence, the solution of the given equation is x = 0 , 1 .
The solution of the equation, 16 + 9 x = 4 + x and check the solution. The solution of the given equation is x = 0 , 1 . Calculation: Consider the provided equation, 16 + 9 x = 4 + x Square each side and solve. 16 + 9 x 2 = 4 + x 2 16 + 9 x = 16 + x + 8 x x = x Again, square each side. x 2 = x 2 x 2 − x = 0 Now factorize the above equation. x x − 1 = 0 Put the first factor equal to zero. x = 0 Put the second factor equal to zero. x − 1 = 0 x = 1 Check, Put x = 0 , 1 in the equation, 16 + 9 x = 4 + x . First put x = 0 . 16 + 9 0 = ? 4 + 0 16 = ? 4 4 = 4 Which is true. Now put x = 1 . 16 + 9 1 = ? 4 + 1 25 = ? 5 5 = 5 Which is true. Hence, the solution of the given equation is x = 0 , 1 .
Solution Summary: The author calculates the solution of the given equation, x=0,1.
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