Final answer to the problem
$x=\frac{36+24i}{72},\:x=\frac{36-24i}{72}$
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Apply the formula: $a=b$$\to b=a$, where $a=36x$ and $b=13+36x^2$
$13+36x^2=36x$
Learn how to solve equations quadratiques problems step by step online.
$13+36x^2=36x$
Learn how to solve equations quadratiques problems step by step online. Solve the quadratic equation 36x=13+36x^2. Apply the formula: a=b\to b=a, where a=36x and b=13+36x^2. Apply the formula: a=b\to a-b=0, where a=13+36x^2 and b=36x. Apply the formula: ax^2+bx+c=0\to x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}, where a=36, x^2a=36x^2, b=-36, x^2a+bx=0=13+36x^2-36x=0, c=13, bx=-36x and x^2a+bx=13+36x^2-36x. Apply the formula: a=b\to a=b, where a=x and b=\frac{36\pm \sqrt{{\left(-36\right)}^2-4\cdot 36\cdot 13}}{2\cdot 36}.
Final answer to the problem
$x=\frac{36+24i}{72},\:x=\frac{36-24i}{72}$
