Yes. Quite often, if you don't, you'll lose solutions. That is, the transformed equation - after taking square roots - will have less solutions than the original equation.
yes
By using the quadratic equation formula
By using the quadratic equation formula or by completing the square
Square
When you graph the quadratic equation, you have three possibilities... 1. The graph touches x-axis once. Then that quadratic equation only has one solution and you find it by finding the x-intercept. 2. The graph touches x-axis twice. Then that quadratic equation has two solutions and you also find it by finding the x-intercept 3. The graph doesn't touch the x-axis at all. Then that quadratic equation has no solutions. If you really want to find the solutions, you'll have to go to imaginary solutions, where the solutions include negative square roots.
Because it's part of the quadratic equation formula in finding the roots of a quadratic equation.
A quadratic equation.
Yes. You can calculate the two roots of a quadratic equation by using the quadratic formula, and because there are square roots on the quadratic formula, and if the radicand is not a perfect square, so the answer to that equation has decimal.
yes
By using the quadratic equation formula
By using the quadratic equation formula or by completing the square
Square
When you graph the quadratic equation, you have three possibilities... 1. The graph touches x-axis once. Then that quadratic equation only has one solution and you find it by finding the x-intercept. 2. The graph touches x-axis twice. Then that quadratic equation has two solutions and you also find it by finding the x-intercept 3. The graph doesn't touch the x-axis at all. Then that quadratic equation has no solutions. If you really want to find the solutions, you'll have to go to imaginary solutions, where the solutions include negative square roots.
A quadratic equation
let, equation is ax2+bx+c=0 so, its solution will be x= (-b-sqrt(b*b-4ac))/2a x= (-b+sqrt(b*b-4ac))/2a it is generalized equation for finding roots of Quadratic eq.
The quadratic formula cannot be used to solve an equation if the coefficient of the equation x square term is what?
A quadratic equation can be solved by completing the square which gives more information about the properties of the parabola than with the quadratic equation formula.