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To find the roots of a polynomial of the form $ax^2+bx+c$ we use the quadratic formula, where in this case $a=5$, $b=16$ and $c=42$. Then substitute the values of the coefficients of the equation in the quadratic formula: $\displaystyle x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}$
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$x=\frac{-16\pm \sqrt{-584}}{10}$
Learn how to solve quadratic equations problems step by step online. Solve the quadratic equation 5x^2+16x+42=0. To find the roots of a polynomial of the form ax^2+bx+c we use the quadratic formula, where in this case a=5, b=16 and c=42. 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 (-). Calculate the power \sqrt{-584} using complex numbers. Calculate the power \sqrt{-584} using complex numbers.