Final Answer
$x=1,\:x=-0.8$
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Step-by-step Solution
Problem to solve:
$5x^2-x=-1+5$
Specify the solving method
1
Subtract the values $5$ and $-1$
$5x^2-x=4$
Learn how to solve quadratic equations problems step by step online.
$5x^2-x=4$
Learn how to solve quadratic equations problems step by step online. Solve the quadratic equation 5x^2-x=-1+5. Subtract the values 5 and -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=5, b=-1 and c=-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}. Simplify \frac{-1\cdot -1\pm \sqrt{{\left(-1\right)}^2-4\cdot 5\cdot -4}}{2\cdot 5}.
Final Answer
$x=1,\:x=-0.8$