Question

Solve the equation for all values of $x$ by completing the square.
$3 x^{2} + 90 = 36 x$
Answer Attempt 1 out of 2

Answer

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Answer

Final Answer: The solutions to the equation are $x = 6 - \sqrt{6}$ and $x = 6 + \sqrt{6}$ .

Steps

Step 1 ：The given equation is a quadratic equation. To solve for x, we can rearrange the equation to the standard form of a quadratic equation, which is $a x^{2} + b x + c = 0$ .

Step 2 ：Rearrange the given equation $3 x^{2} + 90 = 36 x$ to the standard form, we get $3 x^{2} - 36 x + 90 = 0$ .

Step 3 ：Complete the square to solve for x, we get the solutions $x = 6 - \sqrt{6}$ and $x = 6 + \sqrt{6}$ .

Step 4 ：The solutions to the equation are $x = 6 - \sqrt{6}$ and $x = 6 + \sqrt{6}$ . These are the values of x that satisfy the given equation.

Step 5 ：Final Answer: The solutions to the equation are $x = 6 - \sqrt{6}$ and $x = 6 + \sqrt{6}$ .

Question Solve the equation for all values of x by completing the square.3x2+90=36xAnswer Attempt 1 out of 2

Answer

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Question

Solve the equation for all values of $x$ by completing the square.
$3 x^{2} + 90 = 36 x$
Answer Attempt 1 out of 2