Solve the following equation.
\[
9 x^{2}+16=24 x
\]

Answer

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Answer

Final Answer: The solution to the equation is \(\boxed{\frac{4}{3}}\).

Steps

Step 1 ：The given equation is a quadratic equation. We can solve it by rearranging the equation to the standard quadratic form \(ax^2 + bx + c = 0\) and then using the quadratic formula \(x = [-b ± sqrt(b^2 - 4ac)] / (2a)\).

Step 2 ：Rearrange the given equation \(9x^2 + 16 = 24x\) to the standard quadratic form, we get \(9x^2 - 24x + 16 = 0\).

Step 3 ：By applying the quadratic formula, we find that the solution to the equation is \(x = \frac{4}{3}\).

Step 4 ：Final Answer: The solution to the equation is \(\boxed{\frac{4}{3}}\).

Solve the following equation.\[9 x^{2}+16=24 x\]

Answer

Popular Problems

Solve the following equation.
\[
9 x^{2}+16=24 x
\]