Final Answer
$x=\frac{5+6.244998i}{2},\:x=\frac{5-6.244998i}{2}$
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Step-by-step Solution
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1
Find the roots of the equation using the Quadratic Formula
$\frac{x^2-5x+16}{\left(2x+1\right)\left(x-2\right)}=0$
Learn how to solve differential equations problems step by step online.
$\frac{x^2-5x+16}{\left(2x+1\right)\left(x-2\right)}=0$
Learn how to solve differential equations problems step by step online. Find the roots of (x^2-5x+16)/((2x+1)(x-2)). Find the roots of the equation using the Quadratic Formula. Multiply both sides of the equation by \left(2x+1\right)\left(x-2\right). To find the roots of a polynomial of the form ax^2+bx+c we use the quadratic formula, where in this case a=1, b=-5 and c=16. Then substitute the values of the coefficients of the equation in the quadratic formula: \displaystyle x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}. Simplifying.
Final Answer
$x=\frac{5+6.244998i}{2},\:x=\frac{5-6.244998i}{2}$