Final Answer
$x=\frac{-45+\sqrt{9618.242}}{2},\:x=\frac{-45-\sqrt{9618.242}}{2}$
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Step-by-step Solution
Problem to solve:
$x^2+45x- \frac{3796621}{2000}=0$
Specify the solving method
1
Divide $-3796621$ by $2000$
$x^2+45x+1898.3105=0$
Learn how to solve quadratic equations problems step by step online.
$x^2+45x+1898.3105=0$
Learn how to solve quadratic equations problems step by step online. Solve the quadratic equation x^2+45x-3796621/2000=0. Divide -3796621 by 2000. 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=45 and c=1898.3105. Then substitute the values of the coefficients of the equation in the quadratic formula: \displaystyle x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}. To obtain the two solutions, divide the equation in two equations, one when \pm is positive (+), and another when \pm is negative (-). Multiply -4 times 1898.3105.
Final Answer
$x=\frac{-45+\sqrt{9618.242}}{2},\:x=\frac{-45-\sqrt{9618.242}}{2}$