Final Answer
$x=1,\:x=-3$
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Step-by-step Solution
Problem to solve:
$2x=3-x^2$
Specify the solving method
1
Grouping terms
$2x-\left(-1\right)x^2=3$
Learn how to solve quadratic equations problems step by step online.
$2x-\left(-1\right)x^2=3$
Learn how to solve quadratic equations problems step by step online. Solve the quadratic equation 2x=3-x^2. Grouping terms. Multiply -1 times -1. Rewrite the equation. 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=2 and c=-3. Then substitute the values of the coefficients of the equation in the quadratic formula: \displaystyle x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}.
Final Answer
$x=1,\:x=-3$