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Any expression to the power of $1$ is equal to that same expression
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$x+x^2=10$
Learn how to solve quadratic equations problems step by step online. Solve the quadratic equation x^1+x^2=10. Any expression to the power of 1 is equal to that same expression. 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=1 and c=-10. 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 (-).