x^2-16x=-15
x^2-16x+(-8)^2=-15+(-8)^2
(x-8)^2=49
(x-8)^2=+-7
8+7=15 8=7=1
The solutions are 15 and 1. You can use the example above to solve quadratic equations by completing the square.
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Completing the square is one method for solving a quadratic equation. A quadratic equation can also be solved by factoring, using the square roots or quadratic formula. Solving quadratic equations by completing the square will always work when solving quadratic equations-You can also use division or even simply take a GCF, set the quantities( ) equal to zero, and subtract or add to solve for the variable
Because it's part of the quadratic equation formula in finding the roots of a quadratic equation.
Quadratic functions will be used in chemistry in real life. Quadratic equations are used to solve equilibrium problems and determine the amount of reactants in a mixture that will react and the concentrations of products that will be form.
X2+11x+11 = 7x+9 X2+11x-7x+11-9 = 0 x2+4x+2 = 0 Solve as a quadratic equation by using the quadratic equation formula or by completing the square: x = -2 + or - the square root of 2
The related link "Purple Math" has an in depth explanation.