Final Answer
$x=5.930703,\:x=-8.430703$
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Step-by-step Solution
Problem to solve:
$2x^2+5x=100$
Specify the solving method
1
Rewrite the equation
$2x^2+5x-100=0$
Learn how to solve quadratic equations problems step by step online.
$2x^2+5x-100=0$
Learn how to solve quadratic equations problems step by step online. Solve the quadratic equation 2x^2+5x=100. 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=2, b=5 and c=-100. 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{-5\pm \sqrt{5^2-4\cdot 2\cdot -100}}{2\cdot 2}. To obtain the two solutions, divide the equation in two equations, one when \pm is positive (+), and another when \pm is negative (-).
Final Answer
$x=5.930703,\:x=-8.430703$