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Add the values $\frac{1}{4}$ and $1$
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$\frac{5}{4}+x^2+x=0$
Learn how to solve quadratic equations problems step by step online. Solve the quadratic equation 1/4+x^2x+1=0. Add the values \frac{1}{4} and 1. 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=\frac{5}{4}. 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 \frac{5}{4}.