Solve your math problems using our free math solver with step by step solutions. To create a trinomialsquareon the left side of the equation find a value that is equal to the squareof halfof.
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X 2 8x 41 0. 4 8x x 2 0 solving 4 8x x 2 0 solving for variable x. Simplifying x 2 8x 4 0 reorder the terms. 4 4 8x x 2 0 4 combine like terms.
Take the coefficient of x which is 8 divide by two giving 4 and finally square it giving 16. Simple and best practice solution for x 2 8x 41 x 2 6x 9 0 equation. Two numbers r and s sum up to 3 exactly when the average of the two numbers is frac 1 2 3 frac 3 2.
Substitute the values and into the quadratic formulaand solve for. Move the constant term to the right. Begin completing the square.
Middle school math solutions equation calculator. Solution for x 2 8x 4 0 equation. Welcome to our new getting started math solutions series.
Parabola finding the vertex 2 1 find the vertex of y x2 8x 41 parabolas have a highest or a lowest point called the vertex. X 2 8x 41 0 subtract 41 from both side of the equation. Our solution is simple and easy to understand so don t hesitate to use it as a solution of your homework.
Our math solver supports basic math pre algebra algebra trigonometry calculus and more. 4 4 0 0 8x x 2 0 4 8x x 2. Algebra solve by completing the square x 2 8x 41 0 subtract from both sides of the equation.
You can also see that the midpoint of r and s corresponds to the axis of symmetry of the parabola represented by the quadratic equation y x 2 bx c. Over the next few weeks we ll be showing how symbolab. 3 2 solving x 2 8x 41 0 by completing the square.
4 8x 4 x 2 0 4 reorder the terms. Multiply both sides of the equation by 1 to obtain positive coefficient for the first term. X2 8x 41 0 step 2.
This can be further seen in the graph of the function f x x 2 8x 41 graph x 2 8x 41 74 3 42 77 4 2 54 3 notice that this graph does not cross the x axis and therefore there are no real values for which this function is equal to 0. Check how easy it is and learn it for the future. Add 4 to each side of the equation.
X 2 8x 41 now the clever bit. Solve using the quadratic formula x 2 8x 41 0 use the quadratic formulato find the solutions.